49259520 has 132 divisors (see below), whose sum is σ = 170842620. Its totient is φ = 13123584.

The previous prime is 49259519. The next prime is 49259521. The reversal of 49259520 is 2595294.

It is a happy number.

49259520 is a `hidden beast` number, since 49 + 2 + 595 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (49259519) and next prime (49259521).

It can be written as a sum of positive squares in 2 ways, for example, as 20358144 + 28901376 = 4512^2 + 5376^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (49259521) by changing a digit.

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, 45546 + ... + 46614.

Almost surely, 2^49259520 is an apocalyptic number.

49259520 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 49259520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85421310).

49259520 is an abundant number, since it is smaller than the sum of its proper divisors (121583100).

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

49259520 is a wasteful number, since it uses less digits than its factorization.

49259520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 49259520 is about 7018.5126629507. The cubic root of 49259520 is about 366.5754630829.

The spelling of 49259520 in words is "forty-nine million, two hundred fifty-nine thousand, five hundred twenty".