465030720000 has 2000 divisors, whose sum is σ = 2171696484672. Its totient is φ = 96215040000.

The previous prime is 465030719953. The next prime is 465030720013. The reversal of 465030720000 is 27030564.

It is a happy number.

465030720000 is a `hidden beast` number, since 4 + 650 + 3 + 0 + 7 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2000).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 1995839884 + ... + 1995840116.

Almost surely, 2^465030720000 is an apocalyptic number.

465030720000 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 465030720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085848242336).

465030720000 is an abundant number, since it is smaller than the sum of its proper divisors (1706665764672).

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

465030720000 is an equidigital number, since it uses as much as digits as its factorization.

465030720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 465030720000 its reverse (27030564), we get a palindrome (465057750564).

It can be divided in two parts, 465030 and 720000, that added together give a triangular number (1185030 = T₁₅₃₉).

The spelling of 465030720000 in words is "four hundred sixty-five billion, thirty million, seven hundred twenty thousand".