49304640 has 448 divisors, whose sum is σ = 210677760. Its totient is φ = 9461760.

The previous prime is 49304623. The next prime is 49304713. The reversal of 49304640 is 4640394.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 49304598 and 49304607.

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, 1700146 + ... + 1700174.

Almost surely, 2^49304640 is an apocalyptic number.

49304640 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 49304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105338880).

49304640 is an abundant number, since it is smaller than the sum of its proper divisors (161373120).

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

49304640 is a wasteful number, since it uses less digits than its factorization.

49304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 49304640 is about 7021.7262834719. The cubic root of 49304640 is about 366.6873523683.

The spelling of 49304640 in words is "forty-nine million, three hundred four thousand, six hundred forty".