51416000 has 56 divisors (see below), whose sum is σ = 127351536. Its totient is φ = 20563200.

The previous prime is 51415993. The next prime is 51416023. The reversal of 51416000 is 61415.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 51416000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4787 + ... + 11213.

Almost surely, 2^51416000 is an apocalyptic number.

51416000 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 51416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63675768).

51416000 is an abundant number, since it is smaller than the sum of its proper divisors (75935536).

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

51416000 is an equidigital number, since it uses as much as digits as its factorization.

51416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6454 (or 6434 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 51416000 is about 7170.4951014557. The cubic root of 51416000 is about 371.8485528352.

Adding to 51416000 its reverse (61415), we get a palindrome (51477415).

The spelling of 51416000 in words is "fifty-one million, four hundred sixteen thousand".