1482001920 has 400 divisors, whose sum is σ = 6072298848. Its totient is φ = 338411520.

The previous prime is 1482001909. The next prime is 1482001931. The reversal of 1482001920 is 291002841.

It is an interprime number because it is at equal distance from previous prime (1482001909) and next prime (1482001931).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1451010 + ... + 1452030.

Almost surely, 2^1482001920 is an apocalyptic number.

1482001920 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 1482001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036149424).

1482001920 is an abundant number, since it is smaller than the sum of its proper divisors (4590296928).

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

1482001920 is an equidigital number, since it uses as much as digits as its factorization.

1482001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1482001920 is about 38496.7780470002. The cubic root of 1482001920 is about 1140.1174394249.

The spelling of 1482001920 in words is "one billion, four hundred eighty-two million, one thousand, nine hundred twenty".