464064705 has 72 divisors (see below), whose sum is σ = 879278400. Its totient is φ = 226302336.

The previous prime is 464064697. The next prime is 464064739. The reversal of 464064705 is 507460464.

464064705 is a `hidden beast` number, since 4 + 6 + 4 + 0 + 647 + 0 + 5 = 666.

It is not a de Polignac number, because 464064705 - 2³ = 464064697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 464064705.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1056876 + ... + 1057314.

It is an arithmetic number, because the mean of its divisors is an integer number (12212200).

Almost surely, 2^464064705 is an apocalyptic number.

464064705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

464064705 is a deficient number, since it is larger than the sum of its proper divisors (415213695).

464064705 is a wasteful number, since it uses less digits than its factorization.

464064705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 464064705 is about 21542.1611032877. The cubic root of 464064705 is about 774.2113128140.

The spelling of 464064705 in words is "four hundred sixty-four million, sixty-four thousand, seven hundred five".