452626944 has 320 divisors, whose sum is σ = 1555614720. Its totient is φ = 113541120.

The previous prime is 452626919. The next prime is 452626961. The reversal of 452626944 is 449626254.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 452626896 and 452626905.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5085652 + ... + 5085740.

It is an arithmetic number, because the mean of its divisors is an integer number (4861296).

Almost surely, 2^452626944 is an apocalyptic number.

452626944 is a gapful number since it is divisible by the number (44) 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 452626944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777807360).

452626944 is an abundant number, since it is smaller than the sum of its proper divisors (1102987776).

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

452626944 is a wasteful number, since it uses less digits than its factorization.

452626944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 155 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 452626944 is about 21275.0309988023. The cubic root of 452626944 is about 767.7976897667.

The spelling of 452626944 in words is "four hundred fifty-two million, six hundred twenty-six thousand, nine hundred forty-four".