465263520 has 96 divisors (see below), whose sum is σ = 1482183360. Its totient is φ = 122664960.

The previous prime is 465263509. The next prime is 465263543. The reversal of 465263520 is 25362564.

It is a tau number, because it is divible by the number of its divisors (96).

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, 37275 + ... + 48165.

It is an arithmetic number, because the mean of its divisors is an integer number (15439410).

Almost surely, 2^465263520 is an apocalyptic number.

465263520 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 465263520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741091680).

465263520 is an abundant number, since it is smaller than the sum of its proper divisors (1016919840).

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

465263520 is a wasteful number, since it uses less digits than its factorization.

465263520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10998 (or 10990 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 465263520 is about 21569.9680111028. The cubic root of 465263520 is about 774.8774110644.

The spelling of 465263520 in words is "four hundred sixty-five million, two hundred sixty-three thousand, five hundred twenty".