465817426560 has 256 divisors, whose sum is σ = 1651621536000. Its totient is φ = 124078583808.

The previous prime is 465817426499. The next prime is 465817426577. The reversal of 465817426560 is 65624718564.

465817426560 is a `hidden beast` number, since 4 + 6 + 5 + 8 + 1 + 74 + 2 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 465817426497 and 465817426506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15865654 + ... + 15894986.

It is an arithmetic number, because the mean of its divisors is an integer number (6451646625).

Almost surely, 2^465817426560 is an apocalyptic number.

465817426560 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 465817426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825810768000).

465817426560 is an abundant number, since it is smaller than the sum of its proper divisors (1185804109440).

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

465817426560 is a wasteful number, since it uses less digits than its factorization.

465817426560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30280 (or 30262 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 465817426560 in words is "four hundred sixty-five billion, eight hundred seventeen million, four hundred twenty-six thousand, five hundred sixty".