400607220 has 96 divisors (see below), whose sum is σ = 1214760960. Its totient is φ = 98058240.

The previous prime is 400607213. The next prime is 400607257. The reversal of 400607220 is 22706004.

It is a happy number.

It is a super-2 number, since 2×400607220² = 320972289432256800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147636 + ... + 150324.

It is an arithmetic number, because the mean of its divisors is an integer number (12653760).

Almost surely, 2^400607220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400607220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607380480).

400607220 is an abundant number, since it is smaller than the sum of its proper divisors (814153740).

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

400607220 is a wasteful number, since it uses less digits than its factorization.

400607220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 400607220 is about 20015.1747431792. The cubic root of 400607220 is about 737.1789474934.

The spelling of 400607220 in words is "four hundred million, six hundred seven thousand, two hundred twenty".