465038880 has 48 divisors (see below), whose sum is σ = 1464873984. Its totient is φ = 124010240.

The previous prime is 465038879. The next prime is 465038881. The reversal of 465038880 is 88830564.

It is an interprime number because it is at equal distance from previous prime (465038879) and next prime (465038881).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×465038880² = 432522319823308800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (465038881) 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 7 ways as a sum of consecutive naturals, for example, 483936 + ... + 484895.

It is an arithmetic number, because the mean of its divisors is an integer number (30518208).

Almost surely, 2^465038880 is an apocalyptic number.

465038880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465038880 is an abundant number, since it is smaller than the sum of its proper divisors (999835104).

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

465038880 is a wasteful number, since it uses less digits than its factorization.

465038880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968849 (or 968841 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 465038880 is about 21564.7601424175. The cubic root of 465038880 is about 774.7526814030.

The spelling of 465038880 in words is "four hundred sixty-five million, thirty-eight thousand, eight hundred eighty".