49627200 has 252 divisors, whose sum is σ = 190298832. Its totient is φ = 11289600.

The previous prime is 49627189. The next prime is 49627231. The reversal of 49627200 is 272694.

It is a happy number.

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 35 ways as a sum of consecutive naturals, for example, 235095 + ... + 235305.

Almost surely, 2^49627200 is an apocalyptic number.

49627200 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 49627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95149416).

49627200 is an abundant number, since it is smaller than the sum of its proper divisors (140671632).

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

49627200 is a wasteful number, since it uses less digits than its factorization.

49627200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 49627200 is about 7044.6575502291. The cubic root of 49627200 is about 367.4852601798.

Adding to 49627200 its reverse (272694), we get a palindrome (49899894).

The spelling of 49627200 in words is "forty-nine million, six hundred twenty-seven thousand, two hundred".