48624576 has 336 divisors, whose sum is σ = 181612032. Its totient is φ = 11151360.

The previous prime is 48624571. The next prime is 48624577. The reversal of 48624576 is 67542684.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (322560) is a multiple of the sum of its prime factors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48624571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2114101 + ... + 2114123.

It is an arithmetic number, because the mean of its divisors is an integer number (540512).

Almost surely, 2^48624576 is an apocalyptic number.

48624576 is a gapful number since it is divisible by the number (46) 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 48624576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90806016).

48624576 is an abundant number, since it is smaller than the sum of its proper divisors (132987456).

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

48624576 is a wasteful number, since it uses less digits than its factorization.

48624576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 59 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 48624576 is about 6973.1324381515. The cubic root of 48624576 is about 364.9936222067.

It can be divided in two parts, 486 and 24576, that multiplied together give a square (11943936 = 3456²).

The spelling of 48624576 in words is "forty-eight million, six hundred twenty-four thousand, five hundred seventy-six".