48432824 has 64 divisors (see below), whose sum is σ = 105840000. Its totient is φ = 20545920.

The previous prime is 48432823. The next prime is 48432827. The reversal of 48432824 is 42823484.

It is a happy number.

It is a super-2 number, since 2×48432824² = 4691476881229952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48432823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138602 + ... + 138950.

It is an arithmetic number, because the mean of its divisors is an integer number (1653750).

Almost surely, 2^48432824 is an apocalyptic number.

48432824 is a gapful number since it is divisible by the number (44) 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 48432824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52920000).

48432824 is an abundant number, since it is smaller than the sum of its proper divisors (57407176).

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

48432824 is a wasteful number, since it uses less digits than its factorization.

48432824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 464 counting only the distinct ones).

The product of its digits is 49152, while the sum is 35.

The square root of 48432824 is about 6959.3695116727. The cubic root of 48432824 is about 364.5132035588.

It can be divided in two parts, 4843 and 2824, that added together give a palindrome (7667).

The spelling of 48432824 in words is "forty-eight million, four hundred thirty-two thousand, eight hundred twenty-four".