465725030400 has 1056 divisors, whose sum is σ = 1997159316480. Its totient is φ = 104186511360.

The previous prime is 465725030399. The next prime is 465725030413. The reversal of 465725030400 is 4030527564.

465725030400 is a `hidden beast` number, since 4 + 6 + 572 + 50 + 30 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9909043177 + ... + 9909043223.

Almost surely, 2^465725030400 is an apocalyptic number.

465725030400 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 465725030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998579658240).

465725030400 is an abundant number, since it is smaller than the sum of its proper divisors (1531434286080).

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

465725030400 is an frugal number, since it uses more digits than its factorization.

465725030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 465725030400 its reverse (4030527564), we get a palindrome (469755557964).

The spelling of 465725030400 in words is "four hundred sixty-five billion, seven hundred twenty-five million, thirty thousand, four hundred".