48307644 has 192 divisors, whose sum is σ = 161387520. Its totient is φ = 12130560.

The previous prime is 48307621. The next prime is 48307661. The reversal of 48307644 is 44670384.

48307644 is a `hidden beast` number, since 4 + 8 + 3 + 0 + 7 + 644 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 48307599 and 48307608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 307614 + ... + 307770.

It is an arithmetic number, because the mean of its divisors is an integer number (840560).

Almost surely, 2^48307644 is an apocalyptic number.

48307644 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 48307644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80693760).

48307644 is an abundant number, since it is smaller than the sum of its proper divisors (113079876).

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

48307644 is a wasteful number, since it uses less digits than its factorization.

48307644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 48307644 is about 6950.3700620902. The cubic root of 48307644 is about 364.1988910236.

The spelling of 48307644 in words is "forty-eight million, three hundred seven thousand, six hundred forty-four".