464789376 has 96 divisors (see below), whose sum is σ = 1353872520. Its totient is φ = 153031680.

The previous prime is 464789363. The next prime is 464789399. The reversal of 464789376 is 673987464.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93186 + ... + 98046.

Almost surely, 2^464789376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464789376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676936260).

464789376 is an abundant number, since it is smaller than the sum of its proper divisors (889083144).

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

464789376 is a wasteful number, since it uses less digits than its factorization.

464789376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4964 (or 4949 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 464789376 is about 21558.9743726366. The cubic root of 464789376 is about 774.6140991021.

The spelling of 464789376 in words is "four hundred sixty-four million, seven hundred eighty-nine thousand, three hundred seventy-six".