401274432 has 112 divisors (see below), whose sum is σ = 1270487680. Its totient is φ = 123462144.

The previous prime is 401274427. The next prime is 401274437. The reversal of 401274432 is 234472104.

It is an interprime number because it is at equal distance from previous prime (401274427) and next prime (401274437).

It is a super-2 number, since 2×401274432² = 322042339553845248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 401274396 and 401274405.

It is not an unprimeable number, because it can be changed into a prime (401274437) 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, 13533 + ... + 31395.

It is an arithmetic number, because the mean of its divisors is an integer number (11343640).

Almost surely, 2^401274432 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 401274432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635243840).

401274432 is an abundant number, since it is smaller than the sum of its proper divisors (869213248).

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

401274432 is a wasteful number, since it uses less digits than its factorization.

401274432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17897 (or 17881 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 401274432 is about 20031.8354625831. The cubic root of 401274432 is about 737.5879780901.

The spelling of 401274432 in words is "four hundred one million, two hundred seventy-four thousand, four hundred thirty-two".