51409600 has 168 divisors, whose sum is σ = 145133568. Its totient is φ = 17740800.

The previous prime is 51409597. The next prime is 51409601. The reversal of 51409600 is 690415.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (51409601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404737 + ... + 404863.

Almost surely, 2^51409600 is an apocalyptic number.

51409600 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 51409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72566784).

51409600 is an abundant number, since it is smaller than the sum of its proper divisors (93723968).

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

51409600 is a wasteful number, since it uses less digits than its factorization.

51409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 51409600 is about 7170.0488143387. The cubic root of 51409600 is about 371.8331235947.

The spelling of 51409600 in words is "fifty-one million, four hundred nine thousand, six hundred".