48437424 has 120 divisors (see below), whose sum is σ = 160361760. Its totient is φ = 13353984.

The previous prime is 48437423. The next prime is 48437429. The reversal of 48437424 is 42473484.

It is a happy number.

It is a super-3 number, since 3×48437424³ (a number of 24 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48437423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28404 + ... + 30060.

It is an arithmetic number, because the mean of its divisors is an integer number (1336348).

Almost surely, 2^48437424 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 48437424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80180880).

48437424 is an abundant number, since it is smaller than the sum of its proper divisors (111924336).

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

48437424 is a wasteful number, since it uses less digits than its factorization.

48437424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1698 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 48437424 is about 6959.6999935342. The cubic root of 48437424 is about 364.5247433061.

The spelling of 48437424 in words is "forty-eight million, four hundred thirty-seven thousand, four hundred twenty-four".