53930400 has 144 divisors (see below), whose sum is σ = 183363264. Its totient is φ = 13742080.

The previous prime is 53930399. The next prime is 53930407. The reversal of 53930400 is 403935.

53930400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (53930407) 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 23 ways as a sum of consecutive naturals, for example, 54712 + ... + 55688.

It is an arithmetic number, because the mean of its divisors is an integer number (1273356).

Almost surely, 2^53930400 is an apocalyptic number.

53930400 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 53930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91681632).

53930400 is an abundant number, since it is smaller than the sum of its proper divisors (129432864).

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

53930400 is a wasteful number, since it uses less digits than its factorization.

53930400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 53930400 is about 7343.7320212546. The cubic root of 53930400 is about 377.8138553268.

The spelling of 53930400 in words is "fifty-three million, nine hundred thirty thousand, four hundred".