465344880 has 480 divisors, whose sum is σ = 1960588800. Its totient is φ = 88657920.

The previous prime is 465344857. The next prime is 465344897. The reversal of 465344880 is 88443564.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3123046 + ... + 3123194.

It is an arithmetic number, because the mean of its divisors is an integer number (4084560).

Almost surely, 2^465344880 is an apocalyptic number.

465344880 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 465344880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980294400).

465344880 is an abundant number, since it is smaller than the sum of its proper divisors (1495243920).

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

465344880 is a wasteful number, since it uses less digits than its factorization.

465344880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 465344880 is about 21571.8538841705. The cubic root of 465344880 is about 774.9225756854.

The spelling of 465344880 in words is "four hundred sixty-five million, three hundred forty-four thousand, eight hundred eighty".