465078694080 has 2240 divisors, whose sum is σ = 2168648391168. Its totient is φ = 82946949120.

The previous prime is 465078694039. The next prime is 465078694139. The reversal of 465078694080 is 80496870564.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a self number, because there is not a number n which added to its sum of digits gives 465078694080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5603357719 + ... + 5603357801.

Almost surely, 2^465078694080 is an apocalyptic number.

465078694080 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 465078694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084324195584).

465078694080 is an abundant number, since it is smaller than the sum of its proper divisors (1703569697088).

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

465078694080 is a wasteful number, since it uses less digits than its factorization.

465078694080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 465078694080 in words is "four hundred sixty-five billion, seventy-eight million, six hundred ninety-four thousand, eighty".