50459600 has 60 divisors (see below), whose sum is σ = 122527500. Its totient is φ = 19968000.

The previous prime is 50459593. The next prime is 50459663. The reversal of 50459600 is 695405.

It can be written as a sum of positive squares in 6 ways, for example, as 559504 + 49900096 = 748^2 + 7064^2 .

It is a congruent number.

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, 39776 + ... + 41024.

It is an arithmetic number, because the mean of its divisors is an integer number (2042125).

Almost surely, 2^50459600 is an apocalyptic number.

50459600 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 50459600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61263750).

50459600 is an abundant number, since it is smaller than the sum of its proper divisors (72067900).

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

50459600 is a wasteful number, since it uses less digits than its factorization.

50459600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 50459600 is about 7103.4920989609. The cubic root of 50459600 is about 369.5284960655.

The spelling of 50459600 in words is "fifty million, four hundred fifty-nine thousand, six hundred".