49715280 has 120 divisors (see below), whose sum is σ = 172790280. Its totient is φ = 12794880.

The previous prime is 49715279. The next prime is 49715287. The reversal of 49715280 is 8251794.

It can be written as a sum of positive squares in 4 ways, for example, as 97344 + 49617936 = 312^2 + 7044^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49715287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19690 + ... + 22070.

It is an arithmetic number, because the mean of its divisors is an integer number (1439919).

Almost surely, 2^49715280 is an apocalyptic number.

49715280 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 49715280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86395140).

49715280 is an abundant number, since it is smaller than the sum of its proper divisors (123075000).

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

49715280 is a wasteful number, since it uses less digits than its factorization.

49715280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 49715280 is about 7050.9063247217. The cubic root of 49715280 is about 367.7025400267.

The spelling of 49715280 in words is "forty-nine million, seven hundred fifteen thousand, two hundred eighty".