461760000 has 400 divisors, whose sum is σ = 1700193264. Its totient is φ = 110592000.

The previous prime is 461759993. The next prime is 461760043. The reversal of 461760000 is 67164.

It is a tau number, because it is divible by the number of its divisors (400).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12479982 + ... + 12480018.

Almost surely, 2^461760000 is an apocalyptic number.

461760000 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 461760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850096632).

461760000 is an abundant number, since it is smaller than the sum of its proper divisors (1238433264).

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

461760000 is an equidigital number, since it uses as much as digits as its factorization.

461760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 461760000 is about 21488.6016297013. The cubic root of 461760000 is about 772.9275186183.

The spelling of 461760000 in words is "four hundred sixty-one million, seven hundred sixty thousand".