400760361 has 9 divisors (see below), whose sum is σ = 578962839. Its totient is φ = 267133536.

The previous prime is 400760341. The next prime is 400760377. The reversal of 400760361 is 163067004.

The square root of 400760361 is 20019.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14402025 + 386358336 = 3795^2 + 19656^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 400760361 - 2¹⁷ = 400629289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400760341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 56721 + ... + 63393.

Almost surely, 2^400760361 is an apocalyptic number.

400760361 is the 20019-th square number.

400760361 is the 10010-th centered octagonal number.

It is an amenable number.

400760361 is a deficient number, since it is larger than the sum of its proper divisors (178202478).

400760361 is an frugal number, since it uses more digits than its factorization.

400760361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13352 (or 6676 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The cubic root of 400760361 is about 737.2728698638.

It can be divided in two parts, 400 and 760361, that added together give a triangular number (760761 = T₁₂₃₃).

The spelling of 400760361 in words is "four hundred million, seven hundred sixty thousand, three hundred sixty-one".