464227280 has 80 divisors (see below), whose sum is σ = 1180799424. Its totient is φ = 168330240.

The previous prime is 464227249. The next prime is 464227289. The reversal of 464227280 is 82722464.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 464227280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464227289) 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, 494972 + ... + 495908.

Almost surely, 2^464227280 is an apocalyptic number.

464227280 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 464227280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590399712).

464227280 is an abundant number, since it is smaller than the sum of its proper divisors (716572144).

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

464227280 is a wasteful number, since it uses less digits than its factorization.

464227280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The square root of 464227280 is about 21545.9341872196. The cubic root of 464227280 is about 774.3017116365.

The spelling of 464227280 in words is "four hundred sixty-four million, two hundred twenty-seven thousand, two hundred eighty".