465302280 has 64 divisors (see below), whose sum is σ = 1400976000. Its totient is φ = 123630080.

The previous prime is 465302273. The next prime is 465302287. The reversal of 465302280 is 82203564.

It is an interprime number because it is at equal distance from previous prime (465302273) and next prime (465302287).

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 (465302287) by changing a digit.

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, 26821 + ... + 40619.

It is an arithmetic number, because the mean of its divisors is an integer number (21890250).

Almost surely, 2^465302280 is an apocalyptic number.

465302280 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 465302280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700488000).

465302280 is an abundant number, since it is smaller than the sum of its proper divisors (935673720).

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

465302280 is a wasteful number, since it uses less digits than its factorization.

465302280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14094 (or 14090 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 465302280 is about 21570.8664638211. The cubic root of 465302280 is about 774.8989281998.

The spelling of 465302280 in words is "four hundred sixty-five million, three hundred two thousand, two hundred eighty".