48611424 has 96 divisors (see below), whose sum is σ = 139104000. Its totient is φ = 14805504.

The previous prime is 48611419. The next prime is 48611461. The reversal of 48611424 is 42411684.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 48611391 and 48611400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52437 + ... + 53355.

It is an arithmetic number, because the mean of its divisors is an integer number (1449000).

Almost surely, 2^48611424 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 48611424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69552000).

48611424 is an abundant number, since it is smaller than the sum of its proper divisors (90492576).

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

48611424 is a wasteful number, since it uses less digits than its factorization.

48611424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 972 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 48611424 is about 6972.1893261729. The cubic root of 48611424 is about 364.9607113525.

The spelling of 48611424 in words is "forty-eight million, six hundred eleven thousand, four hundred twenty-four".