461752200 has 288 divisors, whose sum is σ = 1909252800. Its totient is φ = 97390080.

The previous prime is 461752183. The next prime is 461752217. The reversal of 461752200 is 2257164.

It is an interprime number because it is at equal distance from previous prime (461752183) and next prime (461752217).

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, 162391 + ... + 165209.

It is an arithmetic number, because the mean of its divisors is an integer number (6629350).

Almost surely, 2^461752200 is an apocalyptic number.

461752200 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 461752200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954626400).

461752200 is an abundant number, since it is smaller than the sum of its proper divisors (1447500600).

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

461752200 is a wasteful number, since it uses less digits than its factorization.

461752200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 461752200 is about 21488.4201373670. The cubic root of 461752200 is about 772.9231665244.

The spelling of 461752200 in words is "four hundred sixty-one million, seven hundred fifty-two thousand, two hundred".