49870080 has 360 divisors, whose sum is σ = 197364552. Its totient is φ = 11943936.

The previous prime is 49870033. The next prime is 49870081. The reversal of 49870080 is 8007894.

It can be written as a sum of positive squares in 4 ways, for example, as 5992704 + 43877376 = 2448^2 + 6624^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 (49870081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1347822 + ... + 1347858.

Almost surely, 2^49870080 is an apocalyptic number.

49870080 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 49870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98682276).

49870080 is an abundant number, since it is smaller than the sum of its proper divisors (147494472).

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

49870080 is a wasteful number, since it uses less digits than its factorization.

49870080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 49870080 is about 7061.8751050978. The cubic root of 49870080 is about 368.0837868450.

49870080 divided by its sum of digits (36) gives a triangular number (1385280 = T₁₆₆₄).

The spelling of 49870080 in words is "forty-nine million, eight hundred seventy thousand, eighty".