1482901920 has 144 divisors (see below), whose sum is σ = 5082589512. Its totient is φ = 393707520.

The previous prime is 1482901907. The next prime is 1482901933. The reversal of 1482901920 is 291092841.

1482901920 is a `hidden beast` number, since 1 + 482 + 90 + 1 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1482901907) and next prime (1482901933).

It can be written as a sum of positive squares in 4 ways, for example, as 1201870224 + 281031696 = 34668^2 + 16764^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344904 + ... + 349176.

Almost surely, 2^1482901920 is an apocalyptic number.

1482901920 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 1482901920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541294756).

1482901920 is an abundant number, since it is smaller than the sum of its proper divisors (3599687592).

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

1482901920 is a wasteful number, since it uses less digits than its factorization.

1482901920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4535 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1482901920 is about 38508.4655627824. The cubic root of 1482901920 is about 1140.3481854264.

The spelling of 1482901920 in words is "one billion, four hundred eighty-two million, nine hundred one thousand, nine hundred twenty".