48695400 has 144 divisors (see below), whose sum is σ = 176199660. Its totient is φ = 11980800.

The previous prime is 48695351. The next prime is 48695401. The reversal of 48695400 is 459684.

It can be written as a sum of positive squares in 6 ways, for example, as 6937956 + 41757444 = 2634^2 + 6462^2 .

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

It is not an unprimeable number, because it can be changed into a prime (48695401) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 22360 + ... + 24440.

Almost surely, 2^48695400 is an apocalyptic number.

48695400 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 48695400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88099830).

48695400 is an abundant number, since it is smaller than the sum of its proper divisors (127504260).

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

48695400 is a wasteful number, since it uses less digits than its factorization.

48695400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 48695400 is about 6978.2089392623. The cubic root of 48695400 is about 365.1707464090.

The spelling of 48695400 in words is "forty-eight million, six hundred ninety-five thousand, four hundred".