461817720 has 512 divisors, whose sum is σ = 1961164800. Its totient is φ = 94058496.

The previous prime is 461817709. The next prime is 461817731. The reversal of 461817720 is 27718164.

461817720 is a `hidden beast` number, since 4 + 618 + 17 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (461817709) and next prime (461817731).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3636297 + ... + 3636423.

It is an arithmetic number, because the mean of its divisors is an integer number (3830400).

Almost surely, 2^461817720 is an apocalyptic number.

461817720 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 461817720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980582400).

461817720 is an abundant number, since it is smaller than the sum of its proper divisors (1499347080).

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

461817720 is a wasteful number, since it uses less digits than its factorization.

461817720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 461817720 is about 21489.9446253358. The cubic root of 461817720 is about 772.9597225898.

The spelling of 461817720 in words is "four hundred sixty-one million, eight hundred seventeen thousand, seven hundred twenty".