518472000 has 336 divisors, whose sum is σ = 1957425600. Its totient is φ = 130636800.

The previous prime is 518471969. The next prime is 518472047. The reversal of 518472000 is 274815.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1367811 + ... + 1368189.

Almost surely, 2^518472000 is an apocalyptic number.

518472000 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 518472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978712800).

518472000 is an abundant number, since it is smaller than the sum of its proper divisors (1438953600).

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

518472000 is a wasteful number, since it uses less digits than its factorization.

518472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 518472000 is about 22769.9802371456. The cubic root of 518472000 is about 803.3567290964.

It can be divided in two parts, 5184 and 72000, that multiplied together give a cube (373248000 = 720³).

The spelling of 518472000 in words is "five hundred eighteen million, four hundred seventy-two thousand".