465101387296 has 192 divisors, whose sum is σ = 1195649925120. Its totient is φ = 172936995840.

The previous prime is 465101387291. The next prime is 465101387297. The reversal of 465101387296 is 692783101564.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (465101387291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6993561 + ... + 7059751.

It is an arithmetic number, because the mean of its divisors is an integer number (6227343360).

It is a 1-persistent number, because it is pandigital, but 2⋅465101387296 = 930202774592 is not.

Almost surely, 2^465101387296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465101387296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597824962560).

465101387296 is an abundant number, since it is smaller than the sum of its proper divisors (730548537824).

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

465101387296 is a wasteful number, since it uses less digits than its factorization.

465101387296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66367 (or 66359 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 465101387296 in words is "four hundred sixty-five billion, one hundred one million, three hundred eighty-seven thousand, two hundred ninety-six".