401314032 has 60 divisors (see below), whose sum is σ = 1283571120. Its totient is φ = 114660864.

The previous prime is 401314021. The next prime is 401314037. The reversal of 401314032 is 230413104.

It is a super-2 number, since 2×401314032² = 322105904560194048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 401313996 and 401314014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401314037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198057 + ... + 200072.

It is an arithmetic number, because the mean of its divisors is an integer number (21392852).

Almost surely, 2^401314032 is an apocalyptic number.

401314032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

401314032 is an abundant number, since it is smaller than the sum of its proper divisors (882257088).

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

401314032 is a wasteful number, since it uses less digits than its factorization.

401314032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398150 (or 398141 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 401314032 is about 20032.8238648474. The cubic root of 401314032 is about 737.6122403911.

Adding to 401314032 its reverse (230413104), we get a palindrome (631727136).

The spelling of 401314032 in words is "four hundred one million, three hundred fourteen thousand, thirty-two".