49520640 has 224 divisors, whose sum is σ = 176150016. Its totient is φ = 11796480.

The previous prime is 49520629. The next prime is 49520641. The reversal of 49520640 is 4602594.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 49520598 and 49520607.

It is not an unprimeable number, because it can be changed into a prime (49520641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1597425 + ... + 1597455.

It is an arithmetic number, because the mean of its divisors is an integer number (786384).

Almost surely, 2^49520640 is an apocalyptic number.

49520640 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 49520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88075008).

49520640 is an abundant number, since it is smaller than the sum of its proper divisors (126629376).

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

49520640 is a wasteful number, since it uses less digits than its factorization.

49520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 49520640 is about 7037.0903077906. The cubic root of 49520640 is about 367.2220490745. Note that the first 3 decimals are identical.

The spelling of 49520640 in words is "forty-nine million, five hundred twenty thousand, six hundred forty".