48972600 has 120 divisors (see below), whose sum is σ = 170145360. Its totient is φ = 13055040.

The previous prime is 48972593. The next prime is 48972607. The reversal of 48972600 is 627984.

48972600 is a `hidden beast` number, since 48 + 9 + 7 + 2 + 600 = 666.

48972600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48972593) and next prime (48972607).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48972607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14689 + ... + 17711.

It is an arithmetic number, because the mean of its divisors is an integer number (1417878).

Almost surely, 2^48972600 is an apocalyptic number.

48972600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48972600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85072680).

48972600 is an abundant number, since it is smaller than the sum of its proper divisors (121172760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48972600 is a wasteful number, since it uses less digits than its factorization.

48972600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 48972600 is about 6998.0425834658. The cubic root of 48972600 is about 365.8623508179.

The spelling of 48972600 in words is "forty-eight million, nine hundred seventy-two thousand, six hundred".