51466600 has 48 divisors (see below), whose sum is σ = 120221100. Its totient is φ = 20490240.

The previous prime is 51466589. The next prime is 51466601. The reversal of 51466600 is 666415.

It can be written as a sum of positive squares in 6 ways, for example, as 1028196 + 50438404 = 1014^2 + 7102^2 .

It is not an unprimeable number, because it can be changed into a prime (51466601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54936 + ... + 55864.

Almost surely, 2^51466600 is an apocalyptic number.

51466600 is a gapful number since it is divisible by the number (50) 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 51466600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60110550).

51466600 is an abundant number, since it is smaller than the sum of its proper divisors (68754500).

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

51466600 is a wasteful number, since it uses less digits than its factorization.

51466600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 51466600 is about 7174.0225815089. The cubic root of 51466600 is about 371.9704952126.

The spelling of 51466600 in words is "fifty-one million, four hundred sixty-six thousand, six hundred".