400406370 has 64 divisors (see below), whose sum is σ = 1182746880. Its totient is φ = 84480768.

The previous prime is 400406339. The next prime is 400406401. The reversal of 400406370 is 73604004.

It is an interprime number because it is at equal distance from previous prime (400406339) and next prime (400406401).

It is a super-2 number, since 2×400406370² = 320650522273153800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 400406370.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70605 + ... + 76064.

It is an arithmetic number, because the mean of its divisors is an integer number (18480420).

Almost surely, 2^400406370 is an apocalyptic number.

400406370 is an abundant number, since it is smaller than the sum of its proper divisors (782340510).

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

400406370 is a wasteful number, since it uses less digits than its factorization.

400406370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146699.

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 400406370 is about 20010.1566710508. The cubic root of 400406370 is about 737.0557285935.

The spelling of 400406370 in words is "four hundred million, four hundred six thousand, three hundred seventy".