401364457 has 16 divisors (see below), whose sum is σ = 447809040. Its totient is φ = 357350400.

The previous prime is 401364449. The next prime is 401364479. The reversal of 401364457 is 754463104.

It can be written as a sum of positive squares in 8 ways, for example, as 78659161 + 322705296 = 8869^2 + 17964^2 .

It is a cyclic number.

It is not a de Polignac number, because 401364457 - 2³ = 401364449 is a prime.

It is a super-2 number, since 2×401364457² = 322186854685809698, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (401364857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43207 + ... + 51667.

It is an arithmetic number, because the mean of its divisors is an integer number (27988065).

Almost surely, 2^401364457 is an apocalyptic number.

It is an amenable number.

401364457 is a deficient number, since it is larger than the sum of its proper divisors (46444583).

401364457 is a wasteful number, since it uses less digits than its factorization.

401364457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8604.

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 401364457 is about 20034.0823847762. The cubic root of 401364457 is about 737.6431326904.

The spelling of 401364457 in words is "four hundred one million, three hundred sixty-four thousand, four hundred fifty-seven".