461353318920 has 256 divisors, whose sum is σ = 1657357632000. Its totient is φ = 113480414208.

The previous prime is 461353318901. The next prime is 461353318939. The reversal of 461353318920 is 29813353164.

461353318920 is a `hidden beast` number, since 4 + 6 + 13 + 533 + 1 + 89 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (461353318901) and next prime (461353318939).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 3.

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, 20304526 + ... + 20327234.

It is an arithmetic number, because the mean of its divisors is an integer number (6474053250).

Almost surely, 2^461353318920 is an apocalyptic number.

461353318920 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 461353318920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828678816000).

461353318920 is an abundant number, since it is smaller than the sum of its proper divisors (1196004313080).

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

461353318920 is a wasteful number, since it uses less digits than its factorization.

461353318920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24189 (or 24179 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 461353318920 in words is "four hundred sixty-one billion, three hundred fifty-three million, three hundred eighteen thousand, nine hundred twenty".