465880434800 has 60 divisors (see below), whose sum is σ = 1221030278376. Its totient is φ = 169411065600.

The previous prime is 465880434781. The next prime is 465880434809. The reversal of 465880434800 is 8434088564.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465880434809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52936559 + ... + 52945358.

Almost surely, 2^465880434800 is an apocalyptic number.

465880434800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465880434800 is an abundant number, since it is smaller than the sum of its proper divisors (755149843576).

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

465880434800 is a wasteful number, since it uses less digits than its factorization.

465880434800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105881946 (or 105881935 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 50.

The spelling of 465880434800 in words is "four hundred sixty-five billion, eight hundred eighty million, four hundred thirty-four thousand, eight hundred".