461610000 has 300 divisors, whose sum is σ = 1692058368. Its totient is φ = 117216000.

The previous prime is 461609989. The next prime is 461610043. The reversal of 461610000 is 16164.

461610000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2069889 + ... + 2070111.

Almost surely, 2^461610000 is an apocalyptic number.

461610000 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 461610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846029184).

461610000 is an abundant number, since it is smaller than the sum of its proper divisors (1230448368).

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

461610000 is a wasteful number, since it uses less digits than its factorization.

461610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 461610000 is about 21485.1111237527. Note that the first 4 decimals coincide. The cubic root of 461610000 is about 772.8438159126.

Adding to 461610000 its reverse (16164), we get a palindrome (461626164).

The spelling of 461610000 in words is "four hundred sixty-one million, six hundred ten thousand".