461790000 has 300 divisors, whose sum is σ = 1848170896. Its totient is φ = 105408000.

The previous prime is 461789987. The next prime is 461790001. The reversal of 461790000 is 97164.

It is a tau number, because it is divible by the number of its divisors (300).

It is not an unprimeable number, because it can be changed into a prime (461790001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 629634 + ... + 630366.

Almost surely, 2^461790000 is an apocalyptic number.

461790000 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 461790000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924085448).

461790000 is an abundant number, since it is smaller than the sum of its proper divisors (1386380896).

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

461790000 is a wasteful number, since it uses less digits than its factorization.

461790000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 461790000 is about 21489.2996628555. The cubic root of 461790000 is about 772.9442569841.

The spelling of 461790000 in words is "four hundred sixty-one million, seven hundred ninety thousand".