50649600 has 120 divisors (see below), whose sum is σ = 167444640. Its totient is φ = 13496320.

The previous prime is 50649593. The next prime is 50649619. The reversal of 50649600 is 694605.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 37741 + ... + 39059.

It is an arithmetic number, because the mean of its divisors is an integer number (1395372).

Almost surely, 2^50649600 is an apocalyptic number.

50649600 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 50649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83722320).

50649600 is an abundant number, since it is smaller than the sum of its proper divisors (116795040).

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

50649600 is a wasteful number, since it uses less digits than its factorization.

50649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 50649600 is about 7116.8532372110. The cubic root of 50649600 is about 369.9917212659.

The spelling of 50649600 in words is "fifty million, six hundred forty-nine thousand, six hundred".