464585464 has 72 divisors (see below), whose sum is σ = 1062053640. Its totient is φ = 189612192.

The previous prime is 464585419. The next prime is 464585509.

464585464 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (464585419) and next prime (464585509).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2046519 + ... + 2046745.

It is an arithmetic number, because the mean of its divisors is an integer number (14750745).

Almost surely, 2^464585464 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 464585464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531026820).

464585464 is an abundant number, since it is smaller than the sum of its proper divisors (597468176).

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

464585464 is a wasteful number, since it uses less digits than its factorization.

464585464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 259 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 46.

The square root of 464585464 is about 21554.2446863721. The cubic root of 464585464 is about 774.5008031857.

Multiplying 464585464 by its sum of digits (46), we get a square (21370931344 = 146188²).

464585464 divided by its sum of digits (46) gives a square (10099684 = 3178²).

It can be divided in two parts, 4645 and 85464, that added together give a palindrome (90109).

The spelling of 464585464 in words is "four hundred sixty-four million, five hundred eighty-five thousand, four hundred sixty-four".