51284480 has 160 divisors (see below), whose sum is σ = 140241024. Its totient is φ = 17842176.

The previous prime is 51284437. The next prime is 51284483. The reversal of 51284480 is 8448215.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (51284483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 765407 + ... + 765473.

Almost surely, 2^51284480 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 51284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70120512).

51284480 is an abundant number, since it is smaller than the sum of its proper divisors (88956544).

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

51284480 is a wasteful number, since it uses less digits than its factorization.

51284480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 51284480 is about 7161.3183143888. The cubic root of 51284480 is about 371.5312243741.

The spelling of 51284480 in words is "fifty-one million, two hundred eighty-four thousand, four hundred eighty".