49333200 has 180 divisors, whose sum is σ = 184050720. Its totient is φ = 11262720.

The previous prime is 49333153. The next prime is 49333211. The reversal of 49333200 is 233394.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58381 + ... + 59219.

It is an arithmetic number, because the mean of its divisors is an integer number (1022504).

Almost surely, 2^49333200 is an apocalyptic number.

49333200 is a gapful number since it is divisible by the number (40) 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 49333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92025360).

49333200 is an abundant number, since it is smaller than the sum of its proper divisors (134717520).

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

49333200 is a wasteful number, since it uses less digits than its factorization.

49333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 49333200 is about 7023.7596769821. The cubic root of 49333200 is about 366.7581406304.

Adding to 49333200 its reverse (233394), we get a palindrome (49566594).

The spelling of 49333200 in words is "forty-nine million, three hundred thirty-three thousand, two hundred".