401884992 has 168 divisors, whose sum is σ = 1209641472. Its totient is φ = 127411200.

The previous prime is 401884963. The next prime is 401884997. The reversal of 401884992 is 299488104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401884997) 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, 1267618 + ... + 1267934.

Almost surely, 2^401884992 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 401884992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604820736).

401884992 is an abundant number, since it is smaller than the sum of its proper divisors (807756480).

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

401884992 is a wasteful number, since it uses less digits than its factorization.

401884992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 401884992 is about 20047.0694117619. The cubic root of 401884992 is about 737.9618813898.

The spelling of 401884992 in words is "four hundred one million, eight hundred eighty-four thousand, nine hundred ninety-two".