253562400 has 720 divisors, whose sum is σ = 1164550464. Its totient is φ = 52254720.

The previous prime is 253562377. The next prime is 253562401. The reversal of 253562400 is 4265352.

253562400 is a `hidden beast` number, since 2 + 5 + 35 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (253562401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5896779 + ... + 5896821.

Almost surely, 2^253562400 is an apocalyptic number.

253562400 is a gapful number since it is divisible by the number (20) 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 253562400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582275232).

253562400 is an abundant number, since it is smaller than the sum of its proper divisors (910988064).

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

253562400 is a wasteful number, since it uses less digits than its factorization.

253562400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 253562400 is about 15923.6427993095. The cubic root of 253562400 is about 632.9386522159.

The spelling of 253562400 in words is "two hundred fifty-three million, five hundred sixty-two thousand, four hundred".