401090928 has 320 divisors, whose sum is σ = 1357627392. Its totient is φ = 99348480.

The previous prime is 401090917. The next prime is 401090929. The reversal of 401090928 is 829090104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401090929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5649133 + ... + 5649203.

Almost surely, 2^401090928 is an apocalyptic number.

401090928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401090928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678813696).

401090928 is an abundant number, since it is smaller than the sum of its proper divisors (956536464).

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

401090928 is a wasteful number, since it uses less digits than its factorization.

401090928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 401090928 is about 20027.2546296291. The cubic root of 401090928 is about 737.4755272163.

The spelling of 401090928 in words is "four hundred one million, ninety thousand, nine hundred twenty-eight".