464525376 has 112 divisors (see below), whose sum is σ = 1478645760. Its totient is φ = 125729280.

The previous prime is 464525371. The next prime is 464525389. The reversal of 464525376 is 673525464.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (464525371) 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, 16441 + ... + 34631.

Almost surely, 2^464525376 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 464525376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739322880).

464525376 is an abundant number, since it is smaller than the sum of its proper divisors (1014120384).

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

464525376 is a wasteful number, since it uses less digits than its factorization.

464525376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18232 (or 18222 counting only the distinct ones).

The product of its digits is 604800, while the sum is 42.

The square root of 464525376 is about 21552.8507627181. The cubic root of 464525376 is about 774.4674112594.

The spelling of 464525376 in words is "four hundred sixty-four million, five hundred twenty-five thousand, three hundred seventy-six".