49843600 has 45 divisors (see below), whose sum is σ = 120089443. Its totient is φ = 19880960.

The previous prime is 49843589. The next prime is 49843627. The reversal of 49843600 is 634894.

The square root of 49843600 is 7060.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2729104 + 47114496 = 1652^2 + 6864^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 141024 + ... + 141376.

Almost surely, 2^49843600 is an apocalyptic number.

49843600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49843600 is the 7060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49843600

49843600 is an abundant number, since it is smaller than the sum of its proper divisors (70245843).

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

49843600 is an equidigital number, since it uses as much as digits as its factorization.

49843600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The cubic root of 49843600 is about 368.0186269715.

Multiplying 49843600 by its product of nonzero digits (20736), we get a square (1033556889600 = 1016640²).

The spelling of 49843600 in words is "forty-nine million, eight hundred forty-three thousand, six hundred".