49971200 has 96 divisors (see below), whose sum is σ = 125958270. Its totient is φ = 19660800.

The previous prime is 49971193. The next prime is 49971221. The reversal of 49971200 is 217994.

It can be written as a sum of positive squares in 3 ways, for example, as 22429696 + 27541504 = 4736^2 + 5248^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 819170 + ... + 819230.

Almost surely, 2^49971200 is an apocalyptic number.

49971200 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 49971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62979135).

49971200 is an abundant number, since it is smaller than the sum of its proper divisors (75987070).

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

49971200 is an frugal number, since it uses more digits than its factorization.

49971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 49971200 is about 7069.0310509998. The cubic root of 49971200 is about 368.3324028741.

The spelling of 49971200 in words is "forty-nine million, nine hundred seventy-one thousand, two hundred".