49589820 has 120 divisors (see below), whose sum is σ = 177829344. Its totient is φ = 11332224.

The previous prime is 49589809. The next prime is 49589831. The reversal of 49589820 is 2898594.

49589820 is a `hidden beast` number, since 49 + 589 + 8 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (49589809) and next prime (49589831).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9154 + ... + 13526.

Almost surely, 2^49589820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49589820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88914672).

49589820 is an abundant number, since it is smaller than the sum of its proper divisors (128239524).

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

49589820 is a wasteful number, since it uses less digits than its factorization.

49589820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4401 (or 4390 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 49589820 is about 7042.0039761420. The cubic root of 49589820 is about 367.3929717483.

The spelling of 49589820 in words is "forty-nine million, five hundred eighty-nine thousand, eight hundred twenty".