51354400 has 72 divisors (see below), whose sum is σ = 130866624. Its totient is φ = 19641600.

The previous prime is 51354379. The next prime is 51354431. The reversal of 51354400 is 445315.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17005 + ... + 19795.

It is an arithmetic number, because the mean of its divisors is an integer number (1817592).

Almost surely, 2^51354400 is an apocalyptic number.

51354400 is a gapful number since it is divisible by the number (50) 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 51354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65433312).

51354400 is an abundant number, since it is smaller than the sum of its proper divisors (79512224).

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

51354400 is a wasteful number, since it uses less digits than its factorization.

51354400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 51354400 is about 7166.1984343165. The cubic root of 51354400 is about 371.6999932132.

Adding to 51354400 its reverse (445315), we get a palindrome (51799715).

The spelling of 51354400 in words is "fifty-one million, three hundred fifty-four thousand, four hundred".