461453200 has 60 divisors (see below), whose sum is σ = 1193934868. Its totient is φ = 170380800.

The previous prime is 461453189. The next prime is 461453203. The reversal of 461453200 is 2354164.

It can be written as a sum of positive squares in 6 ways, for example, as 101364624 + 360088576 = 10068^2 + 18976^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (461453203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39171 + ... + 49570.

Almost surely, 2^461453200 is an apocalyptic number.

461453200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461453200 is an abundant number, since it is smaller than the sum of its proper divisors (732481668).

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

461453200 is a wasteful number, since it uses less digits than its factorization.

461453200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88772 (or 88761 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 461453200 is about 21481.4617752145. The cubic root of 461453200 is about 772.7562992976.

The spelling of 461453200 in words is "four hundred sixty-one million, four hundred fifty-three thousand, two hundred".