49121280 has 288 divisors, whose sum is σ = 187813080. Its totient is φ = 11796480.

The previous prime is 49121269. The next prime is 49121291. The reversal of 49121280 is 8212194.

It is an interprime number because it is at equal distance from previous prime (49121269) and next prime (49121291).

It can be written as a sum of positive squares in 4 ways, for example, as 17040384 + 32080896 = 4128^2 + 5664^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1198060 + ... + 1198100.

Almost surely, 2^49121280 is an apocalyptic number.

49121280 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 49121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93906540).

49121280 is an abundant number, since it is smaller than the sum of its proper divisors (138691800).

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

49121280 is a wasteful number, since it uses less digits than its factorization.

49121280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 49121280 is about 7008.6575034025. The cubic root of 49121280 is about 366.2322274299.

The spelling of 49121280 in words is "forty-nine million, one hundred twenty-one thousand, two hundred eighty".