461823120 has 600 divisors, whose sum is σ = 1915710720. Its totient is φ = 102643200.

The previous prime is 461823119. The next prime is 461823127. The reversal of 461823120 is 21328164.

461823120 is a `hidden beast` number, since 4 + 618 + 23 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461823127) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14897505 + ... + 14897535.

Almost surely, 2^461823120 is an apocalyptic number.

461823120 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 461823120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957855360).

461823120 is an abundant number, since it is smaller than the sum of its proper divisors (1453887600).

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

461823120 is a wasteful number, since it uses less digits than its factorization.

461823120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 461823120 is about 21490.0702651248. The cubic root of 461823120 is about 772.9627352981.

The spelling of 461823120 in words is "four hundred sixty-one million, eight hundred twenty-three thousand, one hundred twenty".