49646000 has 80 divisors (see below), whose sum is σ = 121712448. Its totient is φ = 19584000.

The previous prime is 49645997. The next prime is 49646011. The reversal of 49646000 is 64694.

49646000 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 (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 205880 + ... + 206120.

Almost surely, 2^49646000 is an apocalyptic number.

49646000 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 49646000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60856224).

49646000 is an abundant number, since it is smaller than the sum of its proper divisors (72066448).

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

49646000 is a wasteful number, since it uses less digits than its factorization.

49646000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 49646000 is about 7045.9917683744. The cubic root of 49646000 is about 367.5316584632.

The spelling of 49646000 in words is "forty-nine million, six hundred forty-six thousand".