1482764800 has 120 divisors (see below), whose sum is σ = 4008015792. Its totient is φ = 539136000.

The previous prime is 1482764797. The next prime is 1482764819. The reversal of 1482764800 is 84672841.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135535 + ... + 146065.

It is a vampire number, since it can be written as 17600 ⋅ 84248 (with its own digits).

Almost surely, 2^1482764800 is an apocalyptic number.

1482764800 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 1482764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004007896).

1482764800 is an abundant number, since it is smaller than the sum of its proper divisors (2525250992).

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

1482764800 is a wasteful number, since it uses less digits than its factorization.

1482764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10570 (or 10549 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 1482764800 is about 38506.6851338829. The cubic root of 1482764800 is about 1140.3130360209.

The spelling of 1482764800 in words is "one billion, four hundred eighty-two million, seven hundred sixty-four thousand, eight hundred".