461512800 has 216 divisors, whose sum is σ = 1860099696. Its totient is φ = 105477120.

The previous prime is 461512783. The next prime is 461512811. The reversal of 461512800 is 8215164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45822 + ... + 54978.

Almost surely, 2^461512800 is an apocalyptic number.

461512800 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 461512800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930049848).

461512800 is an abundant number, since it is smaller than the sum of its proper divisors (1398586896).

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

461512800 is a wasteful number, since it uses less digits than its factorization.

461512800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9190 (or 9174 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 461512800 is about 21482.8489730762. The cubic root of 461512800 is about 772.7895668769.

Adding to 461512800 its reverse (8215164), we get a palindrome (469727964).

The spelling of 461512800 in words is "four hundred sixty-one million, five hundred twelve thousand, eight hundred".