464606064 has 80 divisors (see below), whose sum is σ = 1436192800. Its totient is φ = 142953984.

The previous prime is 464606063. The next prime is 464606081. The reversal of 464606064 is 460606464.

It is a happy number.

464606064 is a `hidden beast` number, since 4 + 6 + 46 + 0 + 606 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464606063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35749 + ... + 46980.

It is an arithmetic number, because the mean of its divisors is an integer number (17952410).

Almost surely, 2^464606064 is an apocalyptic number.

It is an amenable number.

464606064 is an abundant number, since it is smaller than the sum of its proper divisors (971586736).

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

464606064 is a wasteful number, since it uses less digits than its factorization.

464606064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82759 (or 82747 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 464606064 is about 21554.7225451872. The cubic root of 464606064 is about 774.5122502943.

The spelling of 464606064 in words is "four hundred sixty-four million, six hundred six thousand, sixty-four".