401583320 has 32 divisors (see below), whose sum is σ = 904640400. Its totient is φ = 160441728.

The previous prime is 401583257. The next prime is 401583337. The reversal of 401583320 is 23385104.

It is a super-2 number, since 2×401583320² = 322538325804444800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401583320.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 30746 + ... + 41814.

Almost surely, 2^401583320 is an apocalyptic number.

401583320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401583320 is an abundant number, since it is smaller than the sum of its proper divisors (503057080).

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

401583320 is a wasteful number, since it uses less digits than its factorization.

401583320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11987 (or 11983 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 401583320 is about 20039.5439069855. The cubic root of 401583320 is about 737.7771866242. Note that the first 3 decimals are identical.

The spelling of 401583320 in words is "four hundred one million, five hundred eighty-three thousand, three hundred twenty".