49290080 has 72 divisors (see below), whose sum is σ = 135481248. Its totient is φ = 16896768.

The previous prime is 49290041. The next prime is 49290103. The reversal of 49290080 is 8009294.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 4697 + ... + 10983.

It is an arithmetic number, because the mean of its divisors is an integer number (1881684).

Almost surely, 2^49290080 is an apocalyptic number.

49290080 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 49290080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67740624).

49290080 is an abundant number, since it is smaller than the sum of its proper divisors (86191168).

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

49290080 is a wasteful number, since it uses less digits than its factorization.

49290080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6316 (or 6301 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 49290080 is about 7020.6894248357. The cubic root of 49290080 is about 366.6512537139.

The spelling of 49290080 in words is "forty-nine million, two hundred ninety thousand, eighty".