1481584000 has 256 divisors, whose sum is σ = 4210315200. Its totient is φ = 513638400.

The previous prime is 1481583997. The next prime is 1481584009. The reversal of 1481584000 is 4851841.

It is a super-2 number, since 2×1481584000² = 4390182298112000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1481584009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3535791 + ... + 3536209.

Almost surely, 2^1481584000 is an apocalyptic number.

1481584000 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 1481584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105157600).

1481584000 is an abundant number, since it is smaller than the sum of its proper divisors (2728731200).

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

1481584000 is a wasteful number, since it uses less digits than its factorization.

1481584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 1481584000 is about 38491.3496775574. The cubic root of 1481584000 is about 1140.0102594747.

The spelling of 1481584000 in words is "one billion, four hundred eighty-one million, five hundred eighty-four thousand".