1482367920 has 320 divisors, whose sum is σ = 5279662080. Its totient is φ = 340761600.

The previous prime is 1482367907. The next prime is 1482367927. The reversal of 1482367920 is 297632841.

It is not an unprimeable number, because it can be changed into a prime (1482367927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4828407 + ... + 4828713.

It is an arithmetic number, because the mean of its divisors is an integer number (16498944).

Almost surely, 2^1482367920 is an apocalyptic number.

1482367920 is a gapful number since it is divisible by the number (10) 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 1482367920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639831040).

1482367920 is an abundant number, since it is smaller than the sum of its proper divisors (3797294160).

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

1482367920 is a wasteful number, since it uses less digits than its factorization.

1482367920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 1482367920 is about 38501.5313981145. The cubic root of 1482367920 is about 1140.2112873996.

The spelling of 1482367920 in words is "one billion, four hundred eighty-two million, three hundred sixty-seven thousand, nine hundred twenty".