453952000 has 160 divisors (see below), whose sum is σ = 1166269104. Its totient is φ = 176128000.

The previous prime is 453951961. The next prime is 453952039. The reversal of 453952000 is 259354.

It is an interprime number because it is at equal distance from previous prime (453951961) and next prime (453952039).

It can be written as a sum of positive squares in 8 ways, for example, as 8573184 + 445378816 = 2928^2 + 21104^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 453952000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2623914 + ... + 2624086.

Almost surely, 2^453952000 is an apocalyptic number.

453952000 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 453952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583134552).

453952000 is an abundant number, since it is smaller than the sum of its proper divisors (712317104).

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

453952000 is an equidigital number, since it uses as much as digits as its factorization.

453952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 453952000 is about 21306.1493470782. The cubic root of 453952000 is about 768.5461971039.

The spelling of 453952000 in words is "four hundred fifty-three million, nine hundred fifty-two thousand".