53958400 has 54 divisors (see below), whose sum is σ = 133571312. Its totient is φ = 21580800.

The previous prime is 53958353. The next prime is 53958427. The reversal of 53958400 is 485935.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2185 + ... + 10615.

Almost surely, 2^53958400 is an apocalyptic number.

53958400 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 53958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66785656).

53958400 is an abundant number, since it is smaller than the sum of its proper divisors (79612912).

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

53958400 is an equidigital number, since it uses as much as digits as its factorization.

53958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8457 (or 8438 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 53958400 is about 7345.6381615214. The cubic root of 53958400 is about 377.8792294490.

The spelling of 53958400 in words is "fifty-three million, nine hundred fifty-eight thousand, four hundred".