465528038400 has 528 divisors, whose sum is σ = 1751352281280. Its totient is φ = 121105612800.

The previous prime is 465528038387. The next prime is 465528038411. The reversal of 465528038400 is 4830825564.

465528038400 is a `hidden beast` number, since 46 + 5 + 528 + 0 + 3 + 84 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28330987 + ... + 28347413.

Almost surely, 2^465528038400 is an apocalyptic number.

465528038400 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 465528038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875676140640).

465528038400 is an abundant number, since it is smaller than the sum of its proper divisors (1285824242880).

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

465528038400 is a wasteful number, since it uses less digits than its factorization.

465528038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16507 (or 16478 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 465528038400 in words is "four hundred sixty-five billion, five hundred twenty-eight million, thirty-eight thousand, four hundred".