400351424 has 56 divisors (see below), whose sum is σ = 870222288. Its totient is φ = 181232640.

The previous prime is 400351379. The next prime is 400351447. The reversal of 400351424 is 424153004.

It is a self number, because there is not a number n which added to its sum of digits gives 400351424.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193982 + ... + 196034.

Almost surely, 2^400351424 is an apocalyptic number.

400351424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400351424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435111144).

400351424 is an abundant number, since it is smaller than the sum of its proper divisors (469870864).

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

400351424 is a wasteful number, since it uses less digits than its factorization.

400351424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 400351424 is about 20008.7836711780. The cubic root of 400351424 is about 737.0220127490.

The spelling of 400351424 in words is "four hundred million, three hundred fifty-one thousand, four hundred twenty-four".