401032000 has 56 divisors (see below), whose sum is σ = 993175560. Its totient is φ = 160409600.

The previous prime is 401031977. The next prime is 401032001. The reversal of 401032000 is 230104.

It can be written as a sum of positive squares in 4 ways, for example, as 3268864 + 397763136 = 1808^2 + 19944^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401032001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17065 + ... + 33064.

Almost surely, 2^401032000 is an apocalyptic number.

401032000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401032000 is an abundant number, since it is smaller than the sum of its proper divisors (592143560).

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

401032000 is an equidigital number, since it uses as much as digits as its factorization.

401032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50156 (or 50136 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 401032000 is about 20025.7833804323. The cubic root of 401032000 is about 737.4394089836.

Adding to 401032000 its reverse (230104), we get a palindrome (401262104).

The spelling of 401032000 in words is "four hundred one million, thirty-two thousand".