400137361 has 8 divisors (see below), whose sum is σ = 432708584. Its totient is φ = 367822080.

The previous prime is 400137349. The next prime is 400137373. The reversal of 400137361 is 163731004.

It is an interprime number because it is at equal distance from previous prime (400137349) and next prime (400137373).

It can be written as a sum of positive squares in 4 ways, for example, as 121881600 + 278255761 = 11040^2 + 16681^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 400137361 - 2⁵ = 400137329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (400137341) 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, 60726 + ... + 66991.

It is an arithmetic number, because the mean of its divisors is an integer number (54088573).

Almost surely, 2^400137361 is an apocalyptic number.

It is an amenable number.

400137361 is a deficient number, since it is larger than the sum of its proper divisors (32571223).

400137361 is a wasteful number, since it uses less digits than its factorization.

400137361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127971.

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 400137361 is about 20003.4337302374. The cubic root of 400137361 is about 736.8906304508.

Adding to 400137361 its reverse (163731004), we get a palindrome (563868365).

It can be divided in two parts, 40013 and 7361, that added together give a palindrome (47374).

The spelling of 400137361 in words is "four hundred million, one hundred thirty-seven thousand, three hundred sixty-one".