253624316400 has 1200 divisors, whose sum is σ = 1129135022400. Its totient is φ = 53406812160.

The previous prime is 253624316381. The next prime is 253624316423. The reversal of 253624316400 is 4613426352.

253624316400 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 2 + 4 + 3 + 1 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 498279346 + ... + 498279854.

It is an arithmetic number, because the mean of its divisors is an integer number (940945852).

Almost surely, 2^253624316400 is an apocalyptic number.

253624316400 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 253624316400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564567511200).

253624316400 is an abundant number, since it is smaller than the sum of its proper divisors (875510706000).

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

253624316400 is a wasteful number, since it uses less digits than its factorization.

253624316400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 253624316400 in words is "two hundred fifty-three billion, six hundred twenty-four million, three hundred sixteen thousand, four hundred".