49291840 has 168 divisors, whose sum is σ = 137553192. Its totient is φ = 16711680.

The previous prime is 49291831. The next prime is 49291841. The reversal of 49291840 is 4819294.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 17842176 + 31449664 = 4224^2 + 5608^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 49291840.

It is not an unprimeable number, because it can be changed into a prime (49291841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1202220 + ... + 1202260.

It is an arithmetic number, because the mean of its divisors is an integer number (818769).

Almost surely, 2^49291840 is an apocalyptic number.

49291840 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 49291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68776596).

49291840 is an abundant number, since it is smaller than the sum of its proper divisors (88261352).

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

49291840 is a wasteful number, since it uses less digits than its factorization.

49291840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 49291840 is about 7020.8147675323. The cubic root of 49291840 is about 366.6556176652.

The spelling of 49291840 in words is "forty-nine million, two hundred ninety-one thousand, eight hundred forty".