1482577020 has 144 divisors (see below), whose sum is σ = 4708948608. Its totient is φ = 391521600.

The previous prime is 1482576971. The next prime is 1482577039. The reversal of 1482577020 is 207752841.

1482577020 is a `hidden beast` number, since 1 + 4 + 82 + 577 + 0 + 2 + 0 = 666.

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

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, 518595 + ... + 521445.

It is an arithmetic number, because the mean of its divisors is an integer number (32701032).

Almost surely, 2^1482577020 is an apocalyptic number.

1482577020 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 1482577020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354474304).

1482577020 is an abundant number, since it is smaller than the sum of its proper divisors (3226371588).

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

1482577020 is a wasteful number, since it uses less digits than its factorization.

1482577020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2982 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 1482577020 is about 38504.2467787645. The cubic root of 1482577020 is about 1140.2648968910.

The spelling of 1482577020 in words is "one billion, four hundred eighty-two million, five hundred seventy-seven thousand, twenty".