51000456 has 64 divisors (see below), whose sum is σ = 141765120. Its totient is φ = 15183360.

The previous prime is 51000437. The next prime is 51000461. The reversal of 51000456 is 65400015.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7036 + ... + 12308.

It is an arithmetic number, because the mean of its divisors is an integer number (2215080).

Almost surely, 2^51000456 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 51000456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70882560).

51000456 is an abundant number, since it is smaller than the sum of its proper divisors (90764664).

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

51000456 is a wasteful number, since it uses less digits than its factorization.

51000456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5326 (or 5322 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 51000456 is about 7141.4603548574. The cubic root of 51000456 is about 370.8440821808.

The spelling of 51000456 in words is "fifty-one million, four hundred fifty-six", and thus it is an aban number.