461275200 has 252 divisors, whose sum is σ = 1660721088. Its totient is φ = 121420800.

The previous prime is 461275183. The next prime is 461275201. The reversal of 461275200 is 2572164.

It is not an unprimeable number, because it can be changed into a prime (461275201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1483045 + ... + 1483355.

Almost surely, 2^461275200 is an apocalyptic number.

461275200 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 461275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830360544).

461275200 is an abundant number, since it is smaller than the sum of its proper divisors (1199445888).

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

461275200 is a wasteful number, since it uses less digits than its factorization.

461275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 424 counting only the distinct ones).

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

The square root of 461275200 is about 21477.3182683500. The cubic root of 461275200 is about 772.6569260486.

The spelling of 461275200 in words is "four hundred sixty-one million, two hundred seventy-five thousand, two hundred".