465214464 has 264 divisors, whose sum is σ = 1582609392. Its totient is φ = 129761280.

The previous prime is 465214457. The next prime is 465214471. The reversal of 465214464 is 464412564.

It is an interprime number because it is at equal distance from previous prime (465214457) and next prime (465214471).

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1317712 + ... + 1318064.

Almost surely, 2^465214464 is an apocalyptic number.

465214464 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 465214464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791304696).

465214464 is an abundant number, since it is smaller than the sum of its proper divisors (1117394928).

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

465214464 is a wasteful number, since it uses less digits than its factorization.

465214464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 382 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 465214464 is about 21568.8308445312. The cubic root of 465214464 is about 774.8501765183.

The spelling of 465214464 in words is "four hundred sixty-five million, two hundred fourteen thousand, four hundred sixty-four".