53152400 has 120 divisors (see below), whose sum is σ = 149823744. Its totient is φ = 17740800.

The previous prime is 53152399. The next prime is 53152403. The reversal of 53152400 is 425135.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (53152403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114569 + ... + 115031.

Almost surely, 2^53152400 is an apocalyptic number.

53152400 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 53152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74911872).

53152400 is an abundant number, since it is smaller than the sum of its proper divisors (96671344).

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

53152400 is a wasteful number, since it uses less digits than its factorization.

53152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 53152400 is about 7290.5692507513. The cubic root of 53152400 is about 375.9882673267.

Adding to 53152400 its reverse (425135), we get a palindrome (53577535).

The spelling of 53152400 in words is "fifty-three million, one hundred fifty-two thousand, four hundred".