452578560 has 288 divisors, whose sum is σ = 1677715200. Its totient is φ = 101842944.

The previous prime is 452578543. The next prime is 452578571. The reversal of 452578560 is 65875254.

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

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, 3037366 + ... + 3037514.

It is an arithmetic number, because the mean of its divisors is an integer number (5825400).

Almost surely, 2^452578560 is an apocalyptic number.

452578560 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 452578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838857600).

452578560 is an abundant number, since it is smaller than the sum of its proper divisors (1225136640).

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

452578560 is a wasteful number, since it uses less digits than its factorization.

452578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The square root of 452578560 is about 21273.8938607863. The cubic root of 452578560 is about 767.7703306301.

The spelling of 452578560 in words is "four hundred fifty-two million, five hundred seventy-eight thousand, five hundred sixty".