465630000 has 400 divisors, whose sum is σ = 1757137536. Its totient is φ = 104960000.

The previous prime is 465629981. The next prime is 465630031. The reversal of 465630000 is 36564.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×465630000² = 433622593800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5609959 + ... + 5610041.

Almost surely, 2^465630000 is an apocalyptic number.

465630000 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 465630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878568768).

465630000 is an abundant number, since it is smaller than the sum of its proper divisors (1291507536).

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

465630000 is a wasteful number, since it uses less digits than its factorization.

465630000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 465630000 is about 21578.4614836183. The cubic root of 465630000 is about 775.0808101653.

Adding to 465630000 its reverse (36564), we get a palindrome (465666564).

The spelling of 465630000 in words is "four hundred sixty-five million, six hundred thirty thousand".