49958000 has 40 divisors (see below), whose sum is σ = 120803280. Its totient is φ = 19982400.

The previous prime is 49957993. The next prime is 49958003. The reversal of 49958000 is 85994.

49958000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49958003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10490 + ... + 14489.

It is an arithmetic number, because the mean of its divisors is an integer number (3020082).

Almost surely, 2^49958000 is an apocalyptic number.

49958000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49958000 is an abundant number, since it is smaller than the sum of its proper divisors (70845280).

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

49958000 is a wasteful number, since it uses less digits than its factorization.

49958000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25002 (or 24986 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 49958000 is about 7068.0973394542. The cubic root of 49958000 is about 368.2999680858.

The spelling of 49958000 in words is "forty-nine million, nine hundred fifty-eight thousand".