460825300 has 72 divisors (see below), whose sum is σ = 1086789816. Its totient is φ = 168591360.

The previous prime is 460825291. The next prime is 460825319. The reversal of 460825300 is 3528064.

It can be written as a sum of positive squares in 12 ways, for example, as 182736324 + 278088976 = 13518^2 + 16676^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145332 + ... + 148468.

It is an arithmetic number, because the mean of its divisors is an integer number (15094303).

Almost surely, 2^460825300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460825300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543394908).

460825300 is an abundant number, since it is smaller than the sum of its proper divisors (625964516).

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

460825300 is a wasteful number, since it uses less digits than its factorization.

460825300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3277 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 460825300 is about 21466.8418729910. The cubic root of 460825300 is about 772.4056433526.

The spelling of 460825300 in words is "four hundred sixty million, eight hundred twenty-five thousand, three hundred".