453408768 has 144 divisors (see below), whose sum is σ = 1387517040. Its totient is φ = 142147584.

The previous prime is 453408737. The next prime is 453408773. The reversal of 453408768 is 867804354.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312621 + ... + 314067.

It is an arithmetic number, because the mean of its divisors is an integer number (9635535).

Almost surely, 2^453408768 is an apocalyptic number.

453408768 is a gapful number since it is divisible by the number (48) 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 453408768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693758520).

453408768 is an abundant number, since it is smaller than the sum of its proper divisors (934108272).

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

453408768 is a wasteful number, since it uses less digits than its factorization.

453408768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 453408768 is about 21293.3972864830. The cubic root of 453408768 is about 768.2395086324.

The spelling of 453408768 in words is "four hundred fifty-three million, four hundred eight thousand, seven hundred sixty-eight".