253367400 has 192 divisors, whose sum is σ = 923065920. Its totient is φ = 56678400.

The previous prime is 253367399. The next prime is 253367419. The reversal of 253367400 is 4763352.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 84324 + ... + 87276.

It is an arithmetic number, because the mean of its divisors is an integer number (4807635).

Almost surely, 2^253367400 is an apocalyptic number.

253367400 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 253367400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461532960).

253367400 is an abundant number, since it is smaller than the sum of its proper divisors (669698520).

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

253367400 is a wasteful number, since it uses less digits than its factorization.

253367400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 253367400 is about 15917.5186508450. The cubic root of 253367400 is about 632.7763585822.

It can be divided in two parts, 253 and 367400, that added together give a triangular number (367653 = T₈₅₇).

The spelling of 253367400 in words is "two hundred fifty-three million, three hundred sixty-seven thousand, four hundred".