401259432 has 96 divisors (see below), whose sum is σ = 1235632320. Its totient is φ = 107896320.

The previous prime is 401259431. The next prime is 401259451. The reversal of 401259432 is 234952104.

It is a super-2 number, since 2×401259432² = 322018263537925248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 401259432.

It is not an unprimeable number, because it can be changed into a prime (401259431) 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, 9957 + ... + 30027.

It is an arithmetic number, because the mean of its divisors is an integer number (12871170).

Almost surely, 2^401259432 is an apocalyptic number.

401259432 is a gapful number since it is divisible by the number (42) 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 401259432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617816160).

401259432 is an abundant number, since it is smaller than the sum of its proper divisors (834372888).

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

401259432 is a wasteful number, since it uses less digits than its factorization.

401259432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20111 (or 20100 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 401259432 is about 20031.4610550504. The cubic root of 401259432 is about 737.5787874078.

The spelling of 401259432 in words is "four hundred one million, two hundred fifty-nine thousand, four hundred thirty-two".