53908400 has 120 divisors (see below), whose sum is σ = 159510624. Its totient is φ = 17049600.

The previous prime is 53908397. The next prime is 53908427. The reversal of 53908400 is 480935.

53908400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×53908400² = 5812231181120000, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 35660 + ... + 37140.

Almost surely, 2^53908400 is an apocalyptic number.

53908400 is a gapful number since it is divisible by the number (50) 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 53908400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79755312).

53908400 is an abundant number, since it is smaller than the sum of its proper divisors (105602224).

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

53908400 is a wasteful number, since it uses less digits than its factorization.

53908400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 53908400 is about 7342.2339924576. The cubic root of 53908400 is about 377.7624740693.

The spelling of 53908400 in words is "fifty-three million, nine hundred eight thousand, four hundred".