457449552 has 80 divisors (see below), whose sum is σ = 1500638080. Its totient is φ = 130699008.

The previous prime is 457449539. The next prime is 457449569. The reversal of 457449552 is 255944754.

457449552 is a `hidden beast` number, since 4 + 57 + 4 + 49 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 457449498 and 457449507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72613 + ... + 78660.

It is an arithmetic number, because the mean of its divisors is an integer number (18757976).

Almost surely, 2^457449552 is an apocalyptic number.

457449552 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

457449552 is an abundant number, since it is smaller than the sum of its proper divisors (1043188528).

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

457449552 is a wasteful number, since it uses less digits than its factorization.

457449552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151297 (or 151285 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 457449552 is about 21388.0703196899. The cubic root of 457449552 is about 770.5149487354.

The spelling of 457449552 in words is "four hundred fifty-seven million, four hundred forty-nine thousand, five hundred fifty-two".