457480640 has 112 divisors (see below), whose sum is σ = 1137659904. Its totient is φ = 175027200.

The previous prime is 457480633. The next prime is 457480669. The reversal of 457480640 is 46084754.

It is a junction number, because it is equal to n+sod(n) for n = 457480594 and 457480603.

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, 1061225 + ... + 1061655.

Almost surely, 2^457480640 is an apocalyptic number.

457480640 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 457480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568829952).

457480640 is an abundant number, since it is smaller than the sum of its proper divisors (680179264).

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

457480640 is a wasteful number, since it uses less digits than its factorization.

457480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 457480640 is about 21388.7970676240. The cubic root of 457480640 is about 770.5324029195.

The spelling of 457480640 in words is "four hundred fifty-seven million, four hundred eighty thousand, six hundred forty".