51200448 has 112 divisors (see below), whose sum is σ = 148413216. Its totient is φ = 15482880.

The previous prime is 51200441. The next prime is 51200473. The reversal of 51200448 is 84400215.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51200441) 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, 182068 + ... + 182348.

It is an arithmetic number, because the mean of its divisors is an integer number (1325118).

Almost surely, 2^51200448 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 51200448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74206608).

51200448 is an abundant number, since it is smaller than the sum of its proper divisors (97212768).

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

51200448 is a wasteful number, since it uses less digits than its factorization.

51200448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 51200448 is about 7155.4488328825. The cubic root of 51200448 is about 371.3281897233.

The spelling of 51200448 in words is "fifty-one million, two hundred thousand, four hundred forty-eight".