401152624 has 40 divisors (see below), whose sum is σ = 819927680. Its totient is φ = 189604800.

The previous prime is 401152607. The next prime is 401152669. The reversal of 401152624 is 426251104.

It is a happy number.

It is a congruent number.

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, 172429 + ... + 174739.

It is an arithmetic number, because the mean of its divisors is an integer number (20498192).

Almost surely, 2^401152624 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 401152624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409963840).

401152624 is an abundant number, since it is smaller than the sum of its proper divisors (418775056).

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

401152624 is a wasteful number, since it uses less digits than its factorization.

401152624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 401152624 is about 20028.7948713845. The cubic root of 401152624 is about 737.5133382247.

The spelling of 401152624 in words is "four hundred one million, one hundred fifty-two thousand, six hundred twenty-four".