49297248 has 480 divisors, whose sum is σ = 204906240. Its totient is φ = 11197440.

The previous prime is 49297247. The next prime is 49297271. The reversal of 49297248 is 84279294.

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 nude number because it is divisible by every one of its digits.

Its product of digits (290304) is a multiple of the sum of its prime factors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49297247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2594583 + ... + 2594601.

It is an arithmetic number, because the mean of its divisors is an integer number (426888).

Almost surely, 2^49297248 is an apocalyptic number.

49297248 is a gapful number since it is divisible by the number (48) 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 49297248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102453120).

49297248 is an abundant number, since it is smaller than the sum of its proper divisors (155608992).

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

49297248 is a wasteful number, since it uses less digits than its factorization.

49297248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 55 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 49297248 is about 7021.1998974534. The cubic root of 49297248 is about 366.6690262474.

The spelling of 49297248 in words is "forty-nine million, two hundred ninety-seven thousand, two hundred forty-eight".