453880960 has 128 divisors (see below), whose sum is σ = 1237647600. Its totient is φ = 157679616.

The previous prime is 453880939. The next prime is 453880963. The reversal of 453880960 is 69088354.

It can be written as a sum of positive squares in 8 ways, for example, as 187799616 + 266081344 = 13704^2 + 16312^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (453880963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139836 + ... + 143044.

Almost surely, 2^453880960 is an apocalyptic number.

453880960 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 453880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618823800).

453880960 is an abundant number, since it is smaller than the sum of its proper divisors (783766640).

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

453880960 is a wasteful number, since it uses less digits than its factorization.

453880960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 453880960 is about 21304.4821575179. The cubic root of 453880960 is about 768.5061044875.

The spelling of 453880960 in words is "four hundred fifty-three million, eight hundred eighty thousand, nine hundred sixty".