465875963280 has 1440 divisors, whose sum is σ = 2043794188800. Its totient is φ = 94493952000.

The previous prime is 465875963269. The next prime is 465875963291. The reversal of 465875963280 is 82369578564.

It is a happy number.

465875963280 is a `hidden beast` number, since 4 + 6 + 5 + 8 + 7 + 596 + 32 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (465875963269) and next prime (465875963291).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3085271205 + ... + 3085271355.

It is an arithmetic number, because the mean of its divisors is an integer number (1419301520).

Almost surely, 2^465875963280 is an apocalyptic number.

465875963280 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 465875963280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021897094400).

465875963280 is an abundant number, since it is smaller than the sum of its proper divisors (1577918225520).

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

465875963280 is a wasteful number, since it uses less digits than its factorization.

465875963280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 465875963280 in words is "four hundred sixty-five billion, eight hundred seventy-five million, nine hundred sixty-three thousand, two hundred eighty".