51364480 has 64 divisors (see below), whose sum is σ = 130043880. Its totient is φ = 19333120.

The previous prime is 51364447. The next prime is 51364493. The reversal of 51364480 is 8446315.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 47004736 + 4359744 = 6856^2 + 2088^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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, 8520 + ... + 13240.

Almost surely, 2^51364480 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 51364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65021940).

51364480 is an abundant number, since it is smaller than the sum of its proper divisors (78679400).

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

51364480 is a wasteful number, since it uses less digits than its factorization.

51364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4757 (or 4745 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 51364480 is about 7166.9017015723. The cubic root of 51364480 is about 371.7243110959.

The spelling of 51364480 in words is "fifty-one million, three hundred sixty-four thousand, four hundred eighty".