401239872 has 336 divisors, whose sum is σ = 1378305600. Its totient is φ = 114048000.

The previous prime is 401239843. The next prime is 401239873. The reversal of 401239872 is 278932104.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401239873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3972622 + ... + 3972722.

It is an arithmetic number, because the mean of its divisors is an integer number (4102100).

Almost surely, 2^401239872 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 401239872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689152800).

401239872 is an abundant number, since it is smaller than the sum of its proper divisors (977065728).

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

401239872 is a wasteful number, since it uses less digits than its factorization.

401239872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 401239872 is about 20030.9728171150. The cubic root of 401239872 is about 737.5668024139.

The spelling of 401239872 in words is "four hundred one million, two hundred thirty-nine thousand, eight hundred seventy-two".