49284480 has 256 divisors, whose sum is σ = 189964800. Its totient is φ = 10616832.

The previous prime is 49284467. The next prime is 49284491. The reversal of 49284480 is 8448294.

49284480 = 305² + 306² + ... + 560².

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255264 + ... + 255456.

It is an arithmetic number, because the mean of its divisors is an integer number (742050).

Almost surely, 2^49284480 is an apocalyptic number.

49284480 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 49284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94982400).

49284480 is an abundant number, since it is smaller than the sum of its proper divisors (140680320).

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

49284480 is a wasteful number, since it uses less digits than its factorization.

49284480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 49284480 is about 7020.2905922761. The cubic root of 49284480 is about 366.6373677232.

The spelling of 49284480 in words is "forty-nine million, two hundred eighty-four thousand, four hundred eighty".