51468480 has 448 divisors, whose sum is σ = 222382080. Its totient is φ = 10948608.

The previous prime is 51468479. The next prime is 51468497. The reversal of 51468480 is 8486415.

51468480 is a `hidden beast` number, since 514 + 68 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 1391022 + ... + 1391058.

Almost surely, 2^51468480 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 51468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111191040).

51468480 is an abundant number, since it is smaller than the sum of its proper divisors (170913600).

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

51468480 is a wasteful number, since it uses less digits than its factorization.

51468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 77 counting only the distinct ones).

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

The square root of 51468480 is about 7174.1536086147. The cubic root of 51468480 is about 371.9750243378.

The spelling of 51468480 in words is "fifty-one million, four hundred sixty-eight thousand, four hundred eighty".