465221280 has 96 divisors (see below), whose sum is σ = 1493178624. Its totient is φ = 121711616.

The previous prime is 465221261. The next prime is 465221287. The reversal of 465221280 is 82122564.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (465221287) 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, 16297 + ... + 34583.

It is an arithmetic number, because the mean of its divisors is an integer number (15553944).

Almost surely, 2^465221280 is an apocalyptic number.

465221280 is a gapful number since it is divisible by the number (40) 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 465221280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746589312).

465221280 is an abundant number, since it is smaller than the sum of its proper divisors (1027957344).

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

465221280 is a wasteful number, since it uses less digits than its factorization.

465221280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18358 (or 18350 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 465221280 is about 21568.9888497352. The cubic root of 465221280 is about 774.8539606891.

The spelling of 465221280 in words is "four hundred sixty-five million, two hundred twenty-one thousand, two hundred eighty".