401909376 has 256 divisors, whose sum is σ = 1282262400. Its totient is φ = 110100480.

The previous prime is 401909369. The next prime is 401909377. The reversal of 401909376 is 673909104.

It is a super-2 number, since 2×401909376² = 323062293033418752, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401909377) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2082336 + ... + 2082528.

Almost surely, 2^401909376 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 401909376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641131200).

401909376 is an abundant number, since it is smaller than the sum of its proper divisors (880353024).

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

401909376 is a wasteful number, since it uses less digits than its factorization.

401909376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 401909376 is about 20047.6775712300. The cubic root of 401909376 is about 737.9768061394.

The spelling of 401909376 in words is "four hundred one million, nine hundred nine thousand, three hundred seventy-six".