49997200 has 90 divisors (see below), whose sum is σ = 132158642. Its totient is φ = 18163200.

The previous prime is 49997161. The next prime is 49997201. The reversal of 49997200 is 279994.

It can be written as a sum of positive squares in 3 ways, for example, as 13660416 + 36336784 = 3696^2 + 6028^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (49997201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47884 + ... + 48916.

Almost surely, 2^49997200 is an apocalyptic number.

49997200 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 49997200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66079321).

49997200 is an abundant number, since it is smaller than the sum of its proper divisors (82161442).

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

49997200 is a wasteful number, since it uses less digits than its factorization.

49997200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 49997200 is about 7070.8698191948. The cubic root of 49997200 is about 368.3962728769.

The spelling of 49997200 in words is "forty-nine million, nine hundred ninety-seven thousand, two hundred".