401162368 has 32 divisors (see below), whose sum is σ = 818693820. Its totient is φ = 195686400.

The previous prime is 401162357. The next prime is 401162387. The reversal of 401162368 is 863261104.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 245611584 + 155550784 = 15672^2 + 12472^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32973 + ... + 43468.

Almost surely, 2^401162368 is an apocalyptic number.

It is an amenable number.

401162368 is an abundant number, since it is smaller than the sum of its proper divisors (417531452).

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

401162368 is an equidigital number, since it uses as much as digits as its factorization.

401162368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76496 (or 76484 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 401162368 is about 20029.0381196901. The cubic root of 401162368 is about 737.5193095777.

The spelling of 401162368 in words is "four hundred one million, one hundred sixty-two thousand, three hundred sixty-eight".