461970600 has 192 divisors, whose sum is σ = 1762803840. Its totient is φ = 97459200.

The previous prime is 461970581. The next prime is 461970637. The reversal of 461970600 is 6079164.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50370 + ... + 58830.

It is an arithmetic number, because the mean of its divisors is an integer number (9181270).

Almost surely, 2^461970600 is an apocalyptic number.

461970600 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 461970600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881401920).

461970600 is an abundant number, since it is smaller than the sum of its proper divisors (1300833240).

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

461970600 is a wasteful number, since it uses less digits than its factorization.

461970600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8500 (or 8491 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 461970600 is about 21493.5013434294. The cubic root of 461970600 is about 773.0450066315.

The spelling of 461970600 in words is "four hundred sixty-one million, nine hundred seventy thousand, six hundred".