51776460 has 72 divisors (see below), whose sum is σ = 157728480. Its totient is φ = 13747968.

The previous prime is 51776443. The next prime is 51776467. The reversal of 51776460 is 6467715.

51776460 is a `hidden beast` number, since 5 + 1 + 7 + 7 + 646 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (51776467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55881 + ... + 56799.

Almost surely, 2^51776460 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 51776460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78864240).

51776460 is an abundant number, since it is smaller than the sum of its proper divisors (105952020).

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

51776460 is a wasteful number, since it uses less digits than its factorization.

51776460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 51776460 is about 7195.5861470766. The cubic root of 51776460 is about 372.7154977262.

The spelling of 51776460 in words is "fifty-one million, seven hundred seventy-six thousand, four hundred sixty".