4467382920 has 1152 divisors, whose sum is σ = 20913984000. Its totient is φ = 819624960.

The previous prime is 4467382889. The next prime is 4467382949. The reversal of 4467382920 is 292837644.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 194234029 + ... + 194234051.

It is an arithmetic number, because the mean of its divisors is an integer number (18154500).

Almost surely, 2^4467382920 is an apocalyptic number.

4467382920 is a gapful number since it is divisible by the number (40) 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 4467382920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456992000).

4467382920 is an abundant number, since it is smaller than the sum of its proper divisors (16446601080).

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

4467382920 is a wasteful number, since it uses less digits than its factorization.

4467382920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4467382920 is about 66838.4838248146. The cubic root of 4467382920 is about 1646.9650878518.

The spelling of 4467382920 in words is "four billion, four hundred sixty-seven million, three hundred eighty-two thousand, nine hundred twenty".