51200424 has 120 divisors (see below), whose sum is σ = 157872330. Its totient is φ = 15491520.

The previous prime is 51200417. The next prime is 51200441. The reversal of 51200424 is 42400215.

It can be written as a sum of positive squares in only one way, i.e., 48024900 + 3175524 = 6930^2 + 1782^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 51200397 and 51200406.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 78082 + ... + 78734.

Almost surely, 2^51200424 is an apocalyptic number.

51200424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51200424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78936165).

51200424 is an abundant number, since it is smaller than the sum of its proper divisors (106671906).

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

51200424 is a wasteful number, since it uses less digits than its factorization.

51200424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 51200424 is about 7155.4471558387. The cubic root of 51200424 is about 371.3281317037.

Adding to 51200424 its reverse (42400215), we get a palindrome (93600639).

The spelling of 51200424 in words is "fifty-one million, two hundred thousand, four hundred twenty-four".