464505464 has 64 divisors (see below), whose sum is σ = 940032000. Its totient is φ = 214531200.

The previous prime is 464505463. The next prime is 464505469.

464505464 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464505463) 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, 1212617 + ... + 1212999.

It is an arithmetic number, because the mean of its divisors is an integer number (14688000).

Almost surely, 2^464505464 is an apocalyptic number.

It is an amenable number.

464505464 is an abundant number, since it is smaller than the sum of its proper divisors (475526536).

464505464 is a wasteful number, since it uses less digits than its factorization.

464505464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The square root of 464505464 is about 21552.3888235156. The cubic root of 464505464 is about 774.4563451862.

The spelling of 464505464 in words is "four hundred sixty-four million, five hundred five thousand, four hundred sixty-four".