464565504 has 288 divisors, whose sum is σ = 1465139200. Its totient is φ = 129392640.

The previous prime is 464565481. The next prime is 464565509. The reversal of 464565504 is 405565464.

It is a super-2 number, since 2×464565504² = 431642215013548032, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) 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 (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464565509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5880537 + ... + 5880615.

Almost surely, 2^464565504 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 464565504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732569600).

464565504 is an abundant number, since it is smaller than the sum of its proper divisors (1000573696).

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

464565504 is a wasteful number, since it uses less digits than its factorization.

464565504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The square root of 464565504 is about 21553.7816635504. The cubic root of 464565504 is about 774.4897113927.

The spelling of 464565504 in words is "four hundred sixty-four million, five hundred sixty-five thousand, five hundred four".