401944752 has 120 divisors (see below), whose sum is σ = 1253491200. Its totient is φ = 119187840.

The previous prime is 401944733. The next prime is 401944759. The reversal of 401944752 is 257449104.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (401944759) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71749 + ... + 77147.

It is an arithmetic number, because the mean of its divisors is an integer number (10445760).

Almost surely, 2^401944752 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 401944752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626745600).

401944752 is an abundant number, since it is smaller than the sum of its proper divisors (851546448).

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

401944752 is a wasteful number, since it uses less digits than its factorization.

401944752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5471 (or 5462 counting only the distinct ones).

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

The square root of 401944752 is about 20048.5598485278. The cubic root of 401944752 is about 737.9984577049.

The spelling of 401944752 in words is "four hundred one million, nine hundred forty-four thousand, seven hundred fifty-two".