51590448 has 240 divisors, whose sum is σ = 184877056. Its totient is φ = 13063680.

The previous prime is 51590447. The next prime is 51590467. The reversal of 51590448 is 84409515.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51590447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406161 + ... + 406287.

Almost surely, 2^51590448 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 51590448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92438528).

51590448 is an abundant number, since it is smaller than the sum of its proper divisors (133286608).

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

51590448 is a wasteful number, since it uses less digits than its factorization.

51590448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 51590448 is about 7182.6490934752. The cubic root of 51590448 is about 372.2686231834.

The spelling of 51590448 in words is "fifty-one million, five hundred ninety thousand, four hundred forty-eight".