453979680 has 384 divisors, whose sum is σ = 1818464256. Its totient is φ = 92467200.

The previous prime is 453979667. The next prime is 453979693. The reversal of 453979680 is 86979354.

It is an interprime number because it is at equal distance from previous prime (453979667) and next prime (453979693).

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 63 ways as a sum of consecutive naturals, for example, 2624074 + ... + 2624246.

It is an arithmetic number, because the mean of its divisors is an integer number (4735584).

Almost surely, 2^453979680 is an apocalyptic number.

453979680 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 453979680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909232128).

453979680 is an abundant number, since it is smaller than the sum of its proper divisors (1364484576).

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

453979680 is a wasteful number, since it uses less digits than its factorization.

453979680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 453979680 is about 21306.7989149004. The cubic root of 453979680 is about 768.5618176441.

The spelling of 453979680 in words is "four hundred fifty-three million, nine hundred seventy-nine thousand, six hundred eighty".