466149804120 has 768 divisors, whose sum is σ = 2102123520000. Its totient is φ = 89409070080.

The previous prime is 466149804091. The next prime is 466149804137. The reversal of 466149804120 is 21408941664.

466149804120 is a `hidden beast` number, since 4 + 6 + 614 + 9 + 8 + 0 + 4 + 1 + 20 = 666.

It is a super-2 number, since 2×466149804120² (a number of 24 digits) contains 22 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11872281 + ... + 11911479.

It is an arithmetic number, because the mean of its divisors is an integer number (2737140000).

Almost surely, 2^466149804120 is an apocalyptic number.

466149804120 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 466149804120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051061760000).

466149804120 is an abundant number, since it is smaller than the sum of its proper divisors (1635973715880).

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

466149804120 is a wasteful number, since it uses less digits than its factorization.

466149804120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39261 (or 39240 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 466149804120 in words is "four hundred sixty-six billion, one hundred forty-nine million, eight hundred four thousand, one hundred twenty".