48435220 has 72 divisors (see below), whose sum is σ = 109914840. Its totient is φ = 17902080.

The previous prime is 48435197. The next prime is 48435221. The reversal of 48435220 is 2253484.

It can be written as a sum of positive squares in 12 ways, for example, as 4186116 + 44249104 = 2046^2 + 6652^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48435221) 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, 793990 + ... + 794050.

It is an arithmetic number, because the mean of its divisors is an integer number (1526595).

Almost surely, 2^48435220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48435220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54957420).

48435220 is an abundant number, since it is smaller than the sum of its proper divisors (61479620).

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

48435220 is a wasteful number, since it uses less digits than its factorization.

48435220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 48435220 is about 6959.5416515745. The cubic root of 48435220 is about 364.5192143531.

The spelling of 48435220 in words is "forty-eight million, four hundred thirty-five thousand, two hundred twenty".