401156928 has 112 divisors (see below), whose sum is σ = 1193962560. Its totient is φ = 132060672.

The previous prime is 401156927. The next prime is 401156929. The reversal of 401156928 is 829651104.

It is an interprime number because it is at equal distance from previous prime (401156927) and next prime (401156929).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 401156892 and 401156901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401156927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142026 + ... + 144822.

It is an arithmetic number, because the mean of its divisors is an integer number (10660380).

Almost surely, 2^401156928 is an apocalyptic number.

401156928 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 401156928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596981280).

401156928 is an abundant number, since it is smaller than the sum of its proper divisors (792805632).

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

401156928 is a wasteful number, since it uses less digits than its factorization.

401156928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 401156928 is about 20028.9023164027. The cubic root of 401156928 is about 737.5159758294.

The spelling of 401156928 in words is "four hundred one million, one hundred fifty-six thousand, nine hundred twenty-eight".