400351224 has 256 divisors, whose sum is σ = 1341204480. Its totient is φ = 96583680.

The previous prime is 400351219. The next prime is 400351253. The reversal of 400351224 is 422153004.

It is a super-2 number, since 2×400351224² = 320562205116596352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 400351224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1522117 + ... + 1522379.

It is an arithmetic number, because the mean of its divisors is an integer number (5239080).

Almost surely, 2^400351224 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 400351224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670602240).

400351224 is an abundant number, since it is smaller than the sum of its proper divisors (940853256).

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

400351224 is a wasteful number, since it uses less digits than its factorization.

400351224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 400351224 is about 20008.7786733723. The cubic root of 400351224 is about 737.0218900198.

The spelling of 400351224 in words is "four hundred million, three hundred fifty-one thousand, two hundred twenty-four".