49829640 has 128 divisors (see below), whose sum is σ = 172488960. Its totient is φ = 11280384.

The previous prime is 49829621. The next prime is 49829651. The reversal of 49829640 is 4692894.

It is a Smith number, since the sum of its digits (42) 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 49829592 and 49829601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114864 + ... + 115296.

It is an arithmetic number, because the mean of its divisors is an integer number (1347570).

Almost surely, 2^49829640 is an apocalyptic number.

49829640 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 49829640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86244480).

49829640 is an abundant number, since it is smaller than the sum of its proper divisors (122659320).

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

49829640 is a wasteful number, since it uses less digits than its factorization.

49829640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 49829640 is about 7059.0112622095. The cubic root of 49829640 is about 367.9842660255.

The spelling of 49829640 in words is "forty-nine million, eight hundred twenty-nine thousand, six hundred forty".