1483585920 has 384 divisors, whose sum is σ = 5513508000. Its totient is φ = 366280704.

The previous prime is 1483585919. The next prime is 1483585969. The reversal of 1483585920 is 295853841.

1483585920 is a `hidden beast` number, since 1 + 4 + 8 + 3 + 58 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10673211 + ... + 10673349.

Almost surely, 2^1483585920 is an apocalyptic number.

1483585920 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 1483585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756754000).

1483585920 is an abundant number, since it is smaller than the sum of its proper divisors (4029922080).

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

1483585920 is a wasteful number, since it uses less digits than its factorization.

1483585920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 1483585920 is about 38517.3457029427. The cubic root of 1483585920 is about 1140.5234899543.

The spelling of 1483585920 in words is "one billion, four hundred eighty-three million, five hundred eighty-five thousand, nine hundred twenty".