481164705 has 80 divisors (see below), whose sum is σ = 997349760. Its totient is φ = 217375488.

The previous prime is 481164701. The next prime is 481164731. The reversal of 481164705 is 507461184.

It is a happy number.

481164705 is a `hidden beast` number, since 4 + 8 + 1 + 1 + 647 + 0 + 5 = 666.

It is not a de Polignac number, because 481164705 - 2² = 481164701 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 481164705.

It is not an unprimeable number, because it can be changed into a prime (481164701) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 251362 + ... + 253268.

It is an arithmetic number, because the mean of its divisors is an integer number (12466872).

Almost surely, 2^481164705 is an apocalyptic number.

481164705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

481164705 is an abundant number, since it is smaller than the sum of its proper divisors (516185055).

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

481164705 is a wasteful number, since it uses less digits than its factorization.

481164705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 481164705 is about 21935.4668288596. The cubic root of 481164705 is about 783.6063036389.

The spelling of 481164705 in words is "four hundred eighty-one million, one hundred sixty-four thousand, seven hundred five".