457652000 has 144 divisors (see below), whose sum is σ = 1219399272. Its totient is φ = 168729600.

The previous prime is 457651981. The next prime is 457652023. The reversal of 457652000 is 256754.

It can be written as a sum of positive squares in 12 ways, for example, as 27836176 + 429815824 = 5276^2 + 20732^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 675662 + ... + 676338.

Almost surely, 2^457652000 is an apocalyptic number.

457652000 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 457652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609699636).

457652000 is an abundant number, since it is smaller than the sum of its proper divisors (761747272).

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

457652000 is a wasteful number, since it uses less digits than its factorization.

457652000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 457652000 is about 21392.8025279532. The cubic root of 457652000 is about 770.6285978463.

The spelling of 457652000 in words is "four hundred fifty-seven million, six hundred fifty-two thousand".