49729000 has 48 divisors (see below), whose sum is σ = 116890020. Its totient is φ = 19802400.

The previous prime is 49728989. The next prime is 49729021. The reversal of 49729000 is 92794.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 33616804 + 16112196 = 5798^2 + 4014^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222889 + ... + 223111.

Almost surely, 2^49729000 is an apocalyptic number.

49729000 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 49729000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58445010).

49729000 is an abundant number, since it is smaller than the sum of its proper divisors (67161020).

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

49729000 is an equidigital number, since it uses as much as digits as its factorization.

49729000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 49729000 is about 7051.8791821755. The cubic root of 49729000 is about 367.7363620551.

The spelling of 49729000 in words is "forty-nine million, seven hundred twenty-nine thousand".