466290290160 has 240 divisors, whose sum is σ = 1574463290400. Its totient is φ = 123670609920.

The previous prime is 466290290143. The next prime is 466290290177. The reversal of 466290290160 is 61092092664.

466290290160 is a `hidden beast` number, since 4 + 6 + 629 + 0 + 2 + 9 + 0 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (466290290143) and next prime (466290290177).

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115159816 + ... + 115163864.

It is an arithmetic number, because the mean of its divisors is an integer number (6560263710).

Almost surely, 2^466290290160 is an apocalyptic number.

466290290160 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 466290290160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787231645200).

466290290160 is an abundant number, since it is smaller than the sum of its proper divisors (1108173000240).

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

466290290160 is a wasteful number, since it uses less digits than its factorization.

466290290160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4896 (or 4887 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 466290290160 in words is "four hundred sixty-six billion, two hundred ninety million, two hundred ninety thousand, one hundred sixty".