457304407 has 32 divisors (see below), whose sum is σ = 573696000. Its totient is φ = 363200544.

The previous prime is 457304399. The next prime is 457304459. The reversal of 457304407 is 704403754.

It is not a de Polignac number, because 457304407 - 2³ = 457304399 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457301407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305553 + ... + 307045.

It is an arithmetic number, because the mean of its divisors is an integer number (17928000).

Almost surely, 2^457304407 is an apocalyptic number.

457304407 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

457304407 is a deficient number, since it is larger than the sum of its proper divisors (116391593).

457304407 is a wasteful number, since it uses less digits than its factorization.

457304407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 34.

The square root of 457304407 is about 21384.6769206364. The cubic root of 457304407 is about 770.4334474186.

The spelling of 457304407 in words is "four hundred fifty-seven million, three hundred four thousand, four hundred seven".