401848992 has 192 divisors, whose sum is σ = 1257379200. Its totient is φ = 124416000.

The previous prime is 401848991. The next prime is 401848999. The reversal of 401848992 is 299848104.

401848992 is a `hidden beast` number, since 401 + 84 + 89 + 92 = 666.

It is a super-2 number, since 2×401848992² = 322965224742832128, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (401848991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1600867 + ... + 1601117.

It is an arithmetic number, because the mean of its divisors is an integer number (6548850).

Almost surely, 2^401848992 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 401848992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628689600).

401848992 is an abundant number, since it is smaller than the sum of its proper divisors (855530208).

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

401848992 is a wasteful number, since it uses less digits than its factorization.

401848992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 382 counting only the distinct ones).

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

The square root of 401848992 is about 20046.1715048036. The cubic root of 401848992 is about 737.9398457150.

The spelling of 401848992 in words is "four hundred one million, eight hundred forty-eight thousand, nine hundred ninety-two".