464735376 has 120 divisors (see below), whose sum is σ = 1514635200. Its totient is φ = 130261248.

The previous prime is 464735363. The next prime is 464735377. The reversal of 464735376 is 673537464.

464735376 is a `hidden beast` number, since 46 + 4 + 73 + 537 + 6 = 666.

It is a super-2 number, since 2×464735376² = 431957939411722752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (464735377) 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, 49075 + ... + 57773.

It is an arithmetic number, because the mean of its divisors is an integer number (12621960).

Almost surely, 2^464735376 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 464735376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757317600).

464735376 is an abundant number, since it is smaller than the sum of its proper divisors (1049899824).

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

464735376 is a wasteful number, since it uses less digits than its factorization.

464735376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8773 (or 8764 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 45.

The square root of 464735376 is about 21557.7219575724. The cubic root of 464735376 is about 774.5840992903.

The spelling of 464735376 in words is "four hundred sixty-four million, seven hundred thirty-five thousand, three hundred seventy-six".