452938080 has 192 divisors, whose sum is σ = 1701762048. Its totient is φ = 99010560.

The previous prime is 452938069. The next prime is 452938091. The reversal of 452938080 is 80839254.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (452938069) and next prime (452938091).

It is a congruent number.

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, 74350 + ... + 80210.

It is an arithmetic number, because the mean of its divisors is an integer number (8863344).

Almost surely, 2^452938080 is an apocalyptic number.

452938080 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 452938080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850881024).

452938080 is an abundant number, since it is smaller than the sum of its proper divisors (1248823968).

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

452938080 is a wasteful number, since it uses less digits than its factorization.

452938080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5909 (or 5901 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 452938080 is about 21282.3419763897. The cubic root of 452938080 is about 767.9735776500.

The spelling of 452938080 in words is "four hundred fifty-two million, nine hundred thirty-eight thousand, eighty".