453288960 has 220 divisors, whose sum is σ = 1625817468. Its totient is φ = 120766464.

The previous prime is 453288959. The next prime is 453288971. The reversal of 453288960 is 69882354.

It can be written as a sum of positive squares in 2 ways, for example, as 339738624 + 113550336 = 18432^2 + 10656^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 414174 + ... + 415266.

Almost surely, 2^453288960 is an apocalyptic number.

453288960 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 453288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812908734).

453288960 is an abundant number, since it is smaller than the sum of its proper divisors (1172528508).

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

453288960 is a wasteful number, since it uses less digits than its factorization.

453288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 453288960 is about 21290.5838341742. The cubic root of 453288960 is about 768.1718365495.

The spelling of 453288960 in words is "four hundred fifty-three million, two hundred eighty-eight thousand, nine hundred sixty".