401604257 has 2 divisors, whose sum is σ = 401604258. Its totient is φ = 401604256.

The previous prime is 401604233. The next prime is 401604271. The reversal of 401604257 is 752406104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 395572321 + 6031936 = 19889^2 + 2456^2 .

It is a cyclic number.

It is not a de Polignac number, because 401604257 - 2¹² = 401600161 is a prime.

It is a super-2 number, since 2×401604257² = 322571958481044098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (401664257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200802128 + 200802129.

It is an arithmetic number, because the mean of its divisors is an integer number (200802129).

Almost surely, 2^401604257 is an apocalyptic number.

It is an amenable number.

401604257 is a deficient number, since it is larger than the sum of its proper divisors (1).

401604257 is an equidigital number, since it uses as much as digits as its factorization.

401604257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 401604257 is about 20040.0662923055. The cubic root of 401604257 is about 737.7900080171.

The spelling of 401604257 in words is "four hundred one million, six hundred four thousand, two hundred fifty-seven".