407457 has 8 divisors (see below), whose sum is σ = 603680. Its totient is φ = 271620.

The previous prime is 407437. The next prime is 407471. The reversal of 407457 is 754704.

It is not a de Polignac number, because 407457 - 2¹⁴ = 391073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 15091 = 407457 / (4 + 0 + 7 + 4 + 5 + 7).

It is a Duffinian number.

407457 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 407457.

It is not an unprimeable number, because it can be changed into a prime (407437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7519 + ... + 7572.

It is an arithmetic number, because the mean of its divisors is an integer number (75460).

2⁴⁰⁷⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

407457 is a deficient number, since it is larger than the sum of its proper divisors (196223).

407457 is a wasteful number, since it uses less digits than its factorization.

407457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15100 (or 15094 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 407457 is about 638.3235856523. The cubic root of 407457 is about 74.1356775528.

The spelling of 407457 in words is "four hundred seven thousand, four hundred fifty-seven".