51484680 has 256 divisors, whose sum is σ = 195552000. Its totient is φ = 11943936.

The previous prime is 51484673. The next prime is 51484681. The reversal of 51484680 is 8648415.

51484680 is a `hidden beast` number, since 514 + 84 + 68 + 0 = 666.

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

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (51484681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266664 + ... + 266856.

It is an arithmetic number, because the mean of its divisors is an integer number (763875).

Almost surely, 2^51484680 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 51484680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97776000).

51484680 is an abundant number, since it is smaller than the sum of its proper divisors (144067320).

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

51484680 is a wasteful number, since it uses less digits than its factorization.

51484680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 51484680 is about 7175.2825728329. The cubic root of 51484680 is about 372.0140473363.

The spelling of 51484680 in words is "fifty-one million, four hundred eighty-four thousand, six hundred eighty".