465262394716080 has 1920 divisors, whose sum is σ = 1848921581445120. Its totient is φ = 107933647011840.

The previous prime is 465262394716069. The next prime is 465262394716123. The reversal of 465262394716080 is 80617493262564.

465262394716080 is a `hidden beast` number, since 4 + 6 + 5 + 2 + 6 + 2 + 394 + 7 + 160 + 80 = 666.

It is a super-3 number, since 3×465262394716080³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 465262394715999 and 465262394716017.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 56884993431 + ... + 56885001609.

It is an arithmetic number, because the mean of its divisors is an integer number (962979990336).

It is a 2-persistent number, because it is pandigital, and so is 2⋅465262394716080 = 930524789432160, but 3⋅465262394716080 = 1395787184148240 is not.

Almost surely, 2^{465262394716080} is an apocalyptic number.

465262394716080 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 465262394716080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924460790722560).

465262394716080 is an abundant number, since it is smaller than the sum of its proper divisors (1383659186729040).

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

465262394716080 is a wasteful number, since it uses less digits than its factorization.

465262394716080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8441 (or 8423 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 465262394716080 in words is "four hundred sixty-five trillion, two hundred sixty-two billion, three hundred ninety-four million, seven hundred sixteen thousand, eighty".