465050880 has 432 divisors, whose sum is σ = 1887674880. Its totient is φ = 103514112.

The previous prime is 465050863. The next prime is 465050881. The reversal of 465050880 is 88050564.

It is a happy number.

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 (465050881) 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, 5886681 + ... + 5886759.

Almost surely, 2^465050880 is an apocalyptic number.

465050880 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 465050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943837440).

465050880 is an abundant number, since it is smaller than the sum of its proper divisors (1422624000).

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

465050880 is a wasteful number, since it uses less digits than its factorization.

465050880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 465050880 is about 21565.0383723285. The cubic root of 465050880 is about 774.7593453277.

The spelling of 465050880 in words is "four hundred sixty-five million, fifty thousand, eight hundred eighty".