465937920000 has 1560 divisors, whose sum is σ = 2011884690816. Its totient is φ = 105504768000.

The previous prime is 465937919933. The next prime is 465937920001. The reversal of 465937920000 is 29739564.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465937920001) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 4354559947 + ... + 4354560053.

Almost surely, 2^465937920000 is an apocalyptic number.

465937920000 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 465937920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005942345408).

465937920000 is an abundant number, since it is smaller than the sum of its proper divisors (1545946770816).

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

465937920000 is an frugal number, since it uses more digits than its factorization.

465937920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 465937920000 in words is "four hundred sixty-five billion, nine hundred thirty-seven million, nine hundred twenty thousand".