53472400 has 60 divisors (see below), whose sum is σ = 131976052. Its totient is φ = 20805120.

The previous prime is 53472383. The next prime is 53472413. The reversal of 53472400 is 427435.

It can be written as a sum of positive squares in 6 ways, for example, as 4528384 + 48944016 = 2128^2 + 6996^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12994 + ... + 16606.

Almost surely, 2^53472400 is an apocalyptic number.

53472400 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 53472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65988026).

53472400 is an abundant number, since it is smaller than the sum of its proper divisors (78503652).

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

53472400 is a wasteful number, since it uses less digits than its factorization.

53472400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3668 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 53472400 is about 7312.4824786115. The cubic root of 53472400 is about 376.7412944605.

Adding to 53472400 its reverse (427435), we get a palindrome (53899835).

The spelling of 53472400 in words is "fifty-three million, four hundred seventy-two thousand, four hundred".