457561048 has 64 divisors (see below), whose sum is σ = 1010304000. Its totient is φ = 190225152.

The previous prime is 457561037. The next prime is 457561051. The reversal of 457561048 is 840165754.

It is a super-2 number, since 2×457561048² = 418724225293716608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 457561048.

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, 260140 + ... + 261892.

It is an arithmetic number, because the mean of its divisors is an integer number (15786000).

Almost surely, 2^457561048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457561048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505152000).

457561048 is an abundant number, since it is smaller than the sum of its proper divisors (552742952).

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

457561048 is a wasteful number, since it uses less digits than its factorization.

457561048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 457561048 is about 21390.6766606389. The cubic root of 457561048 is about 770.5775438752.

The spelling of 457561048 in words is "four hundred fifty-seven million, five hundred sixty-one thousand, forty-eight".