461816640 has 168 divisors, whose sum is σ = 1647565920. Its totient is φ = 123130368.

The previous prime is 461816633. The next prime is 461816669. The reversal of 461816640 is 46618164.

461816640 is a `hidden beast` number, since 4 + 6 + 1 + 8 + 1 + 6 + 640 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 461816595 and 461816604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74791 + ... + 80729.

It is an arithmetic number, because the mean of its divisors is an integer number (9806940).

Almost surely, 2^461816640 is an apocalyptic number.

461816640 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 461816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823782960).

461816640 is an abundant number, since it is smaller than the sum of its proper divisors (1185749280).

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

461816640 is an equidigital number, since it uses as much as digits as its factorization.

461816640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5971 (or 5949 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 461816640 is about 21489.9194972899. The cubic root of 461816640 is about 772.9591200453.

The spelling of 461816640 in words is "four hundred sixty-one million, eight hundred sixteen thousand, six hundred forty".