401545360 has 40 divisors (see below), whose sum is σ = 935995896. Its totient is φ = 160204800.

The previous prime is 401545303. The next prime is 401545367. The reversal of 401545360 is 63545104.

It can be written as a sum of positive squares in 4 ways, for example, as 258695056 + 142850304 = 16084^2 + 11952^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×401545360² = 322477352275059200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (401545367) 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, 25822 + ... + 38338.

Almost surely, 2^401545360 is an apocalyptic number.

401545360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401545360 is an abundant number, since it is smaller than the sum of its proper divisors (534450536).

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

401545360 is a wasteful number, since it uses less digits than its factorization.

401545360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12931 (or 12925 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 401545360 is about 20038.5967572582. The cubic root of 401545360 is about 737.7539395560.

The spelling of 401545360 in words is "four hundred one million, five hundred forty-five thousand, three hundred sixty".