465192384020 has 192 divisors, whose sum is σ = 1214952431616. Its totient is φ = 145690030080.

The previous prime is 465192384001. The next prime is 465192384023. The reversal of 465192384020 is 20483291564.

It is a super-2 number, since 2×465192384020² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465192384023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68477744 + ... + 68484536.

It is an arithmetic number, because the mean of its divisors is an integer number (6327877248).

Almost surely, 2^465192384020 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 465192384020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607476215808).

465192384020 is an abundant number, since it is smaller than the sum of its proper divisors (749760047596).

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

465192384020 is a wasteful number, since it uses less digits than its factorization.

465192384020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7210 (or 7208 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 465192384020 in words is "four hundred sixty-five billion, one hundred ninety-two million, three hundred eighty-four thousand, twenty".