401636872 has 64 divisors (see below), whose sum is σ = 933851520. Its totient is φ = 157690368.

The previous prime is 401636867. The next prime is 401636891. The reversal of 401636872 is 278636104.

It is a super-2 number, since 2×401636872² = 322624353899888768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97723 + ... + 101749.

It is an arithmetic number, because the mean of its divisors is an integer number (14591430).

Almost surely, 2^401636872 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 401636872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466925760).

401636872 is an abundant number, since it is smaller than the sum of its proper divisors (532214648).

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

401636872 is a wasteful number, since it uses less digits than its factorization.

401636872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190 (or 4186 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 401636872 is about 20040.8800205979. The cubic root of 401636872 is about 737.8099798918.

The spelling of 401636872 in words is "four hundred one million, six hundred thirty-six thousand, eight hundred seventy-two".