453988080 has 480 divisors, whose sum is σ = 1933626240. Its totient is φ = 93450240.

The previous prime is 453988079. The next prime is 453988097. The reversal of 453988080 is 80889354.

It is a super-2 number, since 2×453988080² = 412210353564172800, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 11072860 + ... + 11072900.

It is an arithmetic number, because the mean of its divisors is an integer number (4028388).

Almost surely, 2^453988080 is an apocalyptic number.

453988080 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 453988080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966813120).

453988080 is an abundant number, since it is smaller than the sum of its proper divisors (1479638160).

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

453988080 is a wasteful number, since it uses less digits than its factorization.

453988080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 453988080 is about 21306.9960341668. The cubic root of 453988080 is about 768.5665578558.

The spelling of 453988080 in words is "four hundred fifty-three million, nine hundred eighty-eight thousand, eighty".