51838480 has 80 divisors (see below), whose sum is σ = 125866944. Its totient is φ = 19837440.

The previous prime is 51838477. The next prime is 51838487. The reversal of 51838480 is 8483815.

51838480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (51838487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245575 + ... + 245785.

Almost surely, 2^51838480 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 51838480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62933472).

51838480 is an abundant number, since it is smaller than the sum of its proper divisors (74028464).

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

51838480 is a wasteful number, since it uses less digits than its factorization.

51838480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 51838480 is about 7199.8944436707. The cubic root of 51838480 is about 372.8642563938.

The spelling of 51838480 in words is "fifty-one million, eight hundred thirty-eight thousand, four hundred eighty".