453720960 has 768 divisors, whose sum is σ = 2083737600. Its totient is φ = 91238400.

The previous prime is 453720947. The next prime is 453720983. The reversal of 453720960 is 69027354.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14636145 + ... + 14636175.

It is an arithmetic number, because the mean of its divisors is an integer number (2713200).

Almost surely, 2^453720960 is an apocalyptic number.

453720960 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 453720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041868800).

453720960 is an abundant number, since it is smaller than the sum of its proper divisors (1630016640).

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

453720960 is a wasteful number, since it uses less digits than its factorization.

453720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 453720960 is about 21300.7267481652. The cubic root of 453720960 is about 768.4157904780.

The spelling of 453720960 in words is "four hundred fifty-three million, seven hundred twenty thousand, nine hundred sixty".