49083840 has 448 divisors, whose sum is σ = 204825600. Its totient is φ = 10948608.

The previous prime is 49083829. The next prime is 49083851. The reversal of 49083840 is 4838094.

It is an interprime number because it is at equal distance from previous prime (49083829) and next prime (49083851).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 49083795 and 49083804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2134069 + ... + 2134091.

It is an arithmetic number, because the mean of its divisors is an integer number (457200).

Almost surely, 2^49083840 is an apocalyptic number.

49083840 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 49083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102412800).

49083840 is an abundant number, since it is smaller than the sum of its proper divisors (155741760).

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

49083840 is a wasteful number, since it uses less digits than its factorization.

49083840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 49083840 is about 7005.9860119758. The cubic root of 49083840 is about 366.1391569742.

The spelling of 49083840 in words is "forty-nine million, eighty-three thousand, eight hundred forty".