49291200 has 336 divisors, whose sum is σ = 206613760. Its totient is φ = 11197440.

The previous prime is 49291189. The next prime is 49291243. The reversal of 49291200 is 219294.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302319 + ... + 302481.

Almost surely, 2^49291200 is an apocalyptic number.

49291200 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 49291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103306880).

49291200 is an abundant number, since it is smaller than the sum of its proper divisors (157322560).

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

49291200 is a wasteful number, since it uses less digits than its factorization.

49291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 49291200 is about 7020.7691886288. The cubic root of 49291200 is about 366.6540307859.

The spelling of 49291200 in words is "forty-nine million, two hundred ninety-one thousand, two hundred".