453902400 has 672 divisors, whose sum is σ = 2015744000. Its totient is φ = 97044480.

The previous prime is 453902389. The next prime is 453902411. The reversal of 453902400 is 4209354.

It is an interprime number because it is at equal distance from previous prime (453902389) and next prime (453902411).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5745561 + ... + 5745639.

Almost surely, 2^453902400 is an apocalyptic number.

453902400 is a gapful number since it is divisible by the number (40) 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 453902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007872000).

453902400 is an abundant number, since it is smaller than the sum of its proper divisors (1561841600).

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

453902400 is a wasteful number, since it uses less digits than its factorization.

453902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 453902400 is about 21304.9853320766. The cubic root of 453902400 is about 768.5182049521.

The spelling of 453902400 in words is "four hundred fifty-three million, nine hundred two thousand, four hundred".