518472900 has 405 divisors, whose sum is σ = 1931176093. Its totient is φ = 120225600.

The previous prime is 518472859. The next prime is 518472917. The reversal of 518472900 is 9274815.

The square root of 518472900 is 22770.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 186650244 + 331822656 = 13662^2 + 18216^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 22542289 + ... + 22542311.

Almost surely, 2^518472900 is an apocalyptic number.

518472900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

518472900 is the 22770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 518472900

518472900 is an abundant number, since it is smaller than the sum of its proper divisors (1412703193).

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

518472900 is a wasteful number, since it uses less digits than its factorization.

518472900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The cubic root of 518472900 is about 803.3571939371.

Multiplying 518472900 by its sum of digits (36), we get a square (18665024400 = 136620²).

518472900 divided by its sum of digits (36) gives a square (14402025 = 3795²).

It can be divided in two parts, 5184 and 72900, that multiplied together give a square (377913600 = 19440²).

The spelling of 518472900 in words is "five hundred eighteen million, four hundred seventy-two thousand, nine hundred".