464565464 has 48 divisors (see below), whose sum is σ = 979800360. Its totient is φ = 206236800.

The previous prime is 464565463. The next prime is 464565467.

464565464 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464565463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36044 + ... + 47204.

Almost surely, 2^464565464 is an apocalyptic number.

464565464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464565464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489900180).

464565464 is an abundant number, since it is smaller than the sum of its proper divisors (515234896).

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

464565464 is a wasteful number, since it uses less digits than its factorization.

464565464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11232 (or 11217 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 44.

The square root of 464565464 is about 21553.7807356389. The cubic root of 464565464 is about 774.4896891644.

The spelling of 464565464 in words is "four hundred sixty-four million, five hundred sixty-five thousand, four hundred sixty-four".