465090912 has 288 divisors, whose sum is σ = 1624686336. Its totient is φ = 124185600.

The previous prime is 465090907. The next prime is 465090917. The reversal of 465090912 is 219090564.

It is an interprime number because it is at equal distance from previous prime (465090907) and next prime (465090917).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465090917) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 946987 + ... + 947477.

It is an arithmetic number, because the mean of its divisors is an integer number (5641272).

Almost surely, 2^465090912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465090912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812343168).

465090912 is an abundant number, since it is smaller than the sum of its proper divisors (1159595424).

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

465090912 is a wasteful number, since it uses less digits than its factorization.

465090912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 465090912 is about 21565.9665213503. The cubic root of 465090912 is about 774.7815753514.

The spelling of 465090912 in words is "four hundred sixty-five million, ninety thousand, nine hundred twelve".