48906900 has 162 divisors, whose sum is σ = 178484670. Its totient is φ = 11168640.

The previous prime is 48906899. The next prime is 48906919. The reversal of 48906900 is 960984.

It can be written as a sum of positive squares in 3 ways, for example, as 298116 + 48608784 = 546^2 + 6972^2 .

It is a super-2 number, since 2×48906900² = 4783769735220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 43546 + ... + 44654.

Almost surely, 2^48906900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48906900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89242335).

48906900 is an abundant number, since it is smaller than the sum of its proper divisors (129577770).

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

48906900 is a wasteful number, since it uses less digits than its factorization.

48906900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 48906900 is about 6993.3468382456. The cubic root of 48906900 is about 365.6986680400.

The spelling of 48906900 in words is "forty-eight million, nine hundred six thousand, nine hundred".