465262280 has 64 divisors (see below), whose sum is σ = 1199232000. Its totient is φ = 159139584.

The previous prime is 465262261. The next prime is 465262313. The reversal of 465262280 is 82262564.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 465262280.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132386 + ... + 135854.

It is an arithmetic number, because the mean of its divisors is an integer number (18738000).

Almost surely, 2^465262280 is an apocalyptic number.

465262280 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 465262280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599616000).

465262280 is an abundant number, since it is smaller than the sum of its proper divisors (733969720).

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

465262280 is a wasteful number, since it uses less digits than its factorization.

465262280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 465262280 is about 21569.9392674157. The cubic root of 465262280 is about 774.8767226740.

The spelling of 465262280 in words is "four hundred sixty-five million, two hundred sixty-two thousand, two hundred eighty".