464738976 has 144 divisors (see below), whose sum is σ = 1438524360. Its totient is φ = 141465600.

The previous prime is 464738971. The next prime is 464738999. The reversal of 464738976 is 679837464.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 463971600 + 767376 = 21540^2 + 876^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (464738971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377530 + ... + 378758.

Almost surely, 2^464738976 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 464738976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719262180).

464738976 is an abundant number, since it is smaller than the sum of its proper divisors (973785384).

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

464738976 is a wasteful number, since it uses less digits than its factorization.

464738976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1348 counting only the distinct ones).

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

The square root of 464738976 is about 21557.8054541737. The cubic root of 464738976 is about 774.5860993501.

The spelling of 464738976 in words is "four hundred sixty-four million, seven hundred thirty-eight thousand, nine hundred seventy-six".