401165460 has 60 divisors (see below), whose sum is σ = 1258475988. Its totient is φ = 106977024.

The previous prime is 401165459. The next prime is 401165483. The reversal of 401165460 is 64561104.

401165460 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 654 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 123343236 + 277822224 = 11106^2 + 16668^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 122197 + ... + 125436.

Almost surely, 2^401165460 is an apocalyptic number.

It is an amenable number.

401165460 is an abundant number, since it is smaller than the sum of its proper divisors (857310528).

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

401165460 is a wasteful number, since it uses less digits than its factorization.

401165460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247654 (or 247643 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 401165460 is about 20029.1153074718. The cubic root of 401165460 is about 737.5212044080.

The spelling of 401165460 in words is "four hundred one million, one hundred sixty-five thousand, four hundred sixty".