465305364004320 has 960 divisors, whose sum is σ = 1993133206665216. Its totient is φ = 99796780892160.

The previous prime is 465305364004277. The next prime is 465305364004331. The reversal of 465305364004320 is 23400463503564.

465305364004320 is a `hidden beast` number, since 4 + 6 + 5 + 30 + 536 + 40 + 0 + 43 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 510025689 + ... + 510937191.

Almost surely, 2^{465305364004320} is an apocalyptic number.

465305364004320 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 465305364004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996566603332608).

465305364004320 is an abundant number, since it is smaller than the sum of its proper divisors (1527827842660896).

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

465305364004320 is a wasteful number, since it uses less digits than its factorization.

465305364004320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911885 (or 911868 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 45.

The spelling of 465305364004320 in words is "four hundred sixty-five trillion, three hundred five billion, three hundred sixty-four million, four thousand, three hundred twenty".