401957424 has 160 divisors (see below), whose sum is σ = 1267418880. Its totient is φ = 120960000.

The previous prime is 401957389. The next prime is 401957431. The reversal of 401957424 is 424759104.

It is a happy number.

401957424 is a `hidden beast` number, since 40 + 195 + 7 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1192584 + ... + 1192920.

It is an arithmetic number, because the mean of its divisors is an integer number (7921368).

Almost surely, 2^401957424 is an apocalyptic number.

401957424 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 401957424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633709440).

401957424 is an abundant number, since it is smaller than the sum of its proper divisors (865461456).

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

401957424 is a wasteful number, since it uses less digits than its factorization.

401957424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 401957424 is about 20048.8758787120. The cubic root of 401957424 is about 738.0062131806.

The spelling of 401957424 in words is "four hundred one million, nine hundred fifty-seven thousand, four hundred twenty-four".