461563200 has 504 divisors, whose sum is σ = 1981728320. Its totient is φ = 99532800.

The previous prime is 461563189. The next prime is 461563211. The reversal of 461563200 is 2365164.

It is an interprime number because it is at equal distance from previous prime (461563189) and next prime (461563211).

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1915080 + ... + 1915320.

Almost surely, 2^461563200 is an apocalyptic number.

461563200 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 461563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990864160).

461563200 is an abundant number, since it is smaller than the sum of its proper divisors (1520165120).

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

461563200 is a wasteful number, since it uses less digits than its factorization.

461563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 461563200 is about 21484.0219698268. The cubic root of 461563200 is about 772.8176969572.

The spelling of 461563200 in words is "four hundred sixty-one million, five hundred sixty-three thousand, two hundred".