466692042960 has 800 divisors, whose sum is σ = 1932942033792. Its totient is φ = 102862172160.

The previous prime is 466692042941. The next prime is 466692042967. The reversal of 466692042960 is 69240296664.

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 = 466692042897 and 466692042906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466692042967) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 62081122 + ... + 62088638.

Almost surely, 2^466692042960 is an apocalyptic number.

466692042960 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 466692042960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966471016896).

466692042960 is an abundant number, since it is smaller than the sum of its proper divisors (1466249990832).

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

466692042960 is a wasteful number, since it uses less digits than its factorization.

466692042960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7633 (or 7618 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 466692042960 in words is "four hundred sixty-six billion, six hundred ninety-two million, forty-two thousand, nine hundred sixty".