401464680 has 64 divisors (see below), whose sum is σ = 1267790400. Its totient is φ = 101422080.

The previous prime is 401464643. The next prime is 401464681. The reversal of 401464680 is 86464104.

It is a super-2 number, since 2×401464680² = 322347778575004800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401464681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85761 + ... + 90320.

It is an arithmetic number, because the mean of its divisors is an integer number (19809225).

Almost surely, 2^401464680 is an apocalyptic number.

401464680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401464680 is an abundant number, since it is smaller than the sum of its proper divisors (866325720).

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

401464680 is a wasteful number, since it uses less digits than its factorization.

401464680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176114 (or 176110 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 401464680 is about 20036.5835411130. The cubic root of 401464680 is about 737.7045254834.

The spelling of 401464680 in words is "four hundred one million, four hundred sixty-four thousand, six hundred eighty".