466460513145360 has 320 divisors, whose sum is σ = 1706776506336000. Its totient is φ = 116761529548800.

The previous prime is 466460513145337. The next prime is 466460513145383. The reversal of 466460513145360 is 63541315064664.

It is a happy number.

466460513145360 is a `hidden beast` number, since 4 + 6 + 6 + 4 + 6 + 0 + 513 + 14 + 53 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (466460513145337) and next prime (466460513145383).

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 = 466460513145297 and 466460513145306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47664241 + ... + 56610960.

It is an arithmetic number, because the mean of its divisors is an integer number (5333676582300).

Almost surely, 2^{466460513145360} is an apocalyptic number.

466460513145360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

466460513145360 is an abundant number, since it is smaller than the sum of its proper divisors (1240315993190640).

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

466460513145360 is a wasteful number, since it uses less digits than its factorization.

466460513145360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104275351 (or 104275339 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 466460513145360 in words is "four hundred sixty-six trillion, four hundred sixty billion, five hundred thirteen million, one hundred forty-five thousand, three hundred sixty".