53600400 has 240 divisors, whose sum is σ = 218339200. Its totient is φ = 12234240.

The previous prime is 53600399. The next prime is 53600411. The reversal of 53600400 is 400635.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75246 + ... + 75954.

Almost surely, 2^53600400 is an apocalyptic number.

53600400 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 53600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109169600).

53600400 is an abundant number, since it is smaller than the sum of its proper divisors (164738800).

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

53600400 is a wasteful number, since it uses less digits than its factorization.

53600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 53600400 is about 7321.2294049565. The cubic root of 53600400 is about 377.0416641141.

The spelling of 53600400 in words is "fifty-three million, six hundred thousand, four hundred".