49329000 has 384 divisors, whose sum is σ = 204422400. Its totient is φ = 10886400.

The previous prime is 49328987. The next prime is 49329011. The reversal of 49329000 is 92394.

49329000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1700986 + ... + 1701014.

It is an arithmetic number, because the mean of its divisors is an integer number (532350).

Almost surely, 2^49329000 is an apocalyptic number.

49329000 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 49329000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102211200).

49329000 is an abundant number, since it is smaller than the sum of its proper divisors (155093400).

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

49329000 is a wasteful number, since it uses less digits than its factorization.

49329000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 49329000 is about 7023.4606854456. The cubic root of 49329000 is about 366.7477323056.

The spelling of 49329000 in words is "forty-nine million, three hundred twenty-nine thousand".