401580966 has 16 divisors (see below), whose sum is σ = 838082304. Its totient is φ = 128040264.

The previous prime is 401580929. The next prime is 401580967. The reversal of 401580966 is 669085104.

It is a super-2 number, since 2×401580966² = 322534544506986312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401580967) 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 7 ways as a sum of consecutive naturals, for example, 1454866 + ... + 1455141.

It is an arithmetic number, because the mean of its divisors is an integer number (52380144).

Almost surely, 2^401580966 is an apocalyptic number.

401580966 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

401580966 is an abundant number, since it is smaller than the sum of its proper divisors (436501338).

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

401580966 is a wasteful number, since it uses less digits than its factorization.

401580966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910035.

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 401580966 is about 20039.4851730278. The cubic root of 401580966 is about 737.7757450546.

The spelling of 401580966 in words is "four hundred one million, five hundred eighty thousand, nine hundred sixty-six".