49032000 has 224 divisors, whose sum is σ = 180685440. Its totient is φ = 13017600.

The previous prime is 49031981. The next prime is 49032019. The reversal of 49032000 is 23094.

It is an interprime number because it is at equal distance from previous prime (49031981) and next prime (49032019).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 15.

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 31 ways as a sum of consecutive naturals, for example, 215887 + ... + 216113.

Almost surely, 2^49032000 is an apocalyptic number.

49032000 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 49032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90342720).

49032000 is an abundant number, since it is smaller than the sum of its proper divisors (131653440).

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

49032000 is a wasteful number, since it uses less digits than its factorization.

49032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 49032000 is about 7002.2853412297. The cubic root of 49032000 is about 366.0102120236.

Adding to 49032000 its reverse (23094), we get a palindrome (49055094).

It can be divided in two parts, 4903 and 2000, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 49032000 in words is "forty-nine million, thirty-two thousand".