465306750546720 has 1536 divisors, whose sum is σ = 1637683826688000. Its totient is φ = 110667167170560.

The previous prime is 465306750546719. The next prime is 465306750546727. The reversal of 465306750546720 is 27645057603564.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (465306750546727) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 218351360055 + ... + 218351362185.

It is an arithmetic number, because the mean of its divisors is an integer number (1066200408000).

Almost surely, 2^{465306750546720} is an apocalyptic number.

465306750546720 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 465306750546720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818841913344000).

465306750546720 is an abundant number, since it is smaller than the sum of its proper divisors (1172377076141280).

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

465306750546720 is a wasteful number, since it uses less digits than its factorization.

465306750546720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 60.

The spelling of 465306750546720 in words is "four hundred sixty-five trillion, three hundred six billion, seven hundred fifty million, five hundred forty-six thousand, seven hundred twenty".