461073600 has 336 divisors, whose sum is σ = 1812279840. Its totient is φ = 113356800.

The previous prime is 461073559. The next prime is 461073601. The reversal of 461073600 is 6370164.

461073600 is a `hidden beast` number, since 46 + 10 + 7 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (461073601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 561190 + ... + 562010.

It is an arithmetic number, because the mean of its divisors is an integer number (5393690).

Almost surely, 2^461073600 is an apocalyptic number.

461073600 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 461073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906139920).

461073600 is an abundant number, since it is smaller than the sum of its proper divisors (1351206240).

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

461073600 is a wasteful number, since it uses less digits than its factorization.

461073600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 461073600 is about 21472.6244320530. The cubic root of 461073600 is about 772.5443465917.

It can be divided in two parts, 4610 and 73600, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 461073600 in words is "four hundred sixty-one million, seventy-three thousand, six hundred".