452501280 has 648 divisors, whose sum is σ = 2011663836. Its totient is φ = 92252160.

The previous prime is 452501261. The next prime is 452501281. The reversal of 452501280 is 82105254.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 451647504 + 853776 = 21252^2 + 924^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (452501281) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8537734 + ... + 8537786.

Almost surely, 2^452501280 is an apocalyptic number.

452501280 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 452501280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005831918).

452501280 is an abundant number, since it is smaller than the sum of its proper divisors (1559162556).

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

452501280 is a wasteful number, since it uses less digits than its factorization.

452501280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 452501280 is about 21272.0774725930. The cubic root of 452501280 is about 767.7266279643.

The spelling of 452501280 in words is "four hundred fifty-two million, five hundred one thousand, two hundred eighty".