401787984 has 80 divisors (see below), whose sum is σ = 1176660800. Its totient is φ = 117116928.

The previous prime is 401787961. The next prime is 401788019. The reversal of 401787984 is 489787104.

It is a super-2 number, since 2×401787984² = 322867168173568512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 5089 + ... + 28800.

It is an arithmetic number, because the mean of its divisors is an integer number (14708260).

Almost surely, 2^401787984 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 401787984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588330400).

401787984 is an abundant number, since it is smaller than the sum of its proper divisors (774872816).

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

401787984 is a wasteful number, since it uses less digits than its factorization.

401787984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33932 (or 33926 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The square root of 401787984 is about 20044.6497599734. The cubic root of 401787984 is about 737.9024995862.

The spelling of 401787984 in words is "four hundred one million, seven hundred eighty-seven thousand, nine hundred eighty-four".