400137264 has 60 divisors (see below), whose sum is σ = 1178775000. Its totient is φ = 126358272.

The previous prime is 400137229. The next prime is 400137271. The reversal of 400137264 is 462731004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70389 + ... + 75860.

It is an arithmetic number, because the mean of its divisors is an integer number (19646250).

Almost surely, 2^400137264 is an apocalyptic number.

It is an amenable number.

400137264 is an abundant number, since it is smaller than the sum of its proper divisors (778637736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400137264 is a wasteful number, since it uses less digits than its factorization.

400137264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146282 (or 146273 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 400137264 is about 20003.4313056535. The cubic root of 400137264 is about 736.8905709059.

Adding to 400137264 its reverse (462731004), we get a palindrome (862868268).

The spelling of 400137264 in words is "four hundred million, one hundred thirty-seven thousand, two hundred sixty-four".