253477382400 has 1134 divisors, whose sum is σ = 1036255648050. Its totient is φ = 61312204800.

The previous prime is 253477382399. The next prime is 253477382407. The reversal of 253477382400 is 4283774352.

253477382400 is a `hidden beast` number, since 2 + 534 + 7 + 73 + 8 + 2 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 23123460096 + 230353922304 = 152064^2 + 479952^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (253477382407) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 564537376 + ... + 564537824.

Almost surely, 2^253477382400 is an apocalyptic number.

253477382400 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 253477382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518127824025).

253477382400 is an abundant number, since it is smaller than the sum of its proper divisors (782778265650).

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

253477382400 is an equidigital number, since it uses as much as digits as its factorization.

253477382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 253477382400 in words is "two hundred fifty-three billion, four hundred seventy-seven million, three hundred eighty-two thousand, four hundred".