51460416 has 84 divisors (see below), whose sum is σ = 168586912. Its totient is φ = 14701824.

The previous prime is 51460397. The next prime is 51460429. The reversal of 51460416 is 61406415.

51460416 is a `hidden beast` number, since 51 + 4 + 604 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 51460416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2350 + ... + 10413.

Almost surely, 2^51460416 is an apocalyptic number.

51460416 is a gapful number since it is divisible by the number (56) 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 51460416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84293456).

51460416 is an abundant number, since it is smaller than the sum of its proper divisors (117126496).

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

51460416 is a wasteful number, since it uses less digits than its factorization.

51460416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12788 (or 12775 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 51460416 is about 7173.5915690817. The cubic root of 51460416 is about 371.9555965037.

The spelling of 51460416 in words is "fifty-one million, four hundred sixty thousand, four hundred sixteen".