453984000 has 144 divisors (see below), whose sum is σ = 1508226720. Its totient is φ = 121036800.

The previous prime is 453983983. The next prime is 453984029. The reversal of 453984000 is 489354.

It is a super-2 number, since 2×453984000² = 412202944512000000, which contains 22 as substring.

It is a congruent number.

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, 93636 + ... + 98364.

Almost surely, 2^453984000 is an apocalyptic number.

453984000 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 453984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754113360).

453984000 is an abundant number, since it is smaller than the sum of its proper divisors (1054242720).

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

453984000 is an equidigital number, since it uses as much as digits as its factorization.

453984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4763 (or 4739 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 453984000 is about 21306.9002907509. The cubic root of 453984000 is about 768.5642554745.

The spelling of 453984000 in words is "four hundred fifty-three million, nine hundred eighty-four thousand".