49267200 has 120 divisors (see below), whose sum is σ = 162877968. Its totient is φ = 13127680.

The previous prime is 49267193. The next prime is 49267217. The reversal of 49267200 is 276294.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37759 + ... + 39041.

Almost surely, 2^49267200 is an apocalyptic number.

49267200 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 49267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81438984).

49267200 is an abundant number, since it is smaller than the sum of its proper divisors (113610768).

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

49267200 is a wasteful number, since it uses less digits than its factorization.

49267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1293 counting only the distinct ones).

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

The square root of 49267200 is about 7019.0597660940. The cubic root of 49267200 is about 366.5945128914.

The spelling of 49267200 in words is "forty-nine million, two hundred sixty-seven thousand, two hundred".