466468104960 has 1152 divisors, whose sum is σ = 1998046955520. Its totient is φ = 101523456000.

The previous prime is 466468104941. The next prime is 466468104979. The reversal of 466468104960 is 69401864664.

It is a happy number.

466468104960 is a `hidden beast` number, since 466 + 4 + 6 + 81 + 0 + 49 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (466468104941) and next prime (466468104979).

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 466468104897 and 466468104906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 182855685 + ... + 182858235.

It is an arithmetic number, because the mean of its divisors is an integer number (1734415760).

Almost surely, 2^466468104960 is an apocalyptic number.

466468104960 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 466468104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999023477760).

466468104960 is an abundant number, since it is smaller than the sum of its proper divisors (1531578850560).

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

466468104960 is a wasteful number, since it uses less digits than its factorization.

466468104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 466468104960 in words is "four hundred sixty-six billion, four hundred sixty-eight million, one hundred four thousand, nine hundred sixty".