1484382672 has 100 divisors (see below), whose sum is σ = 4434942336. Its totient is φ = 478820160.

The previous prime is 1484382649. The next prime is 1484382689. The reversal of 1484382672 is 2762834841.

It is a happy number.

1484382672 is a `hidden beast` number, since 148 + 438 + 2 + 6 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21703 + ... + 58649.

Almost surely, 2^1484382672 is an apocalyptic number.

1484382672 is a gapful number since it is divisible by the number (12) 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 1484382672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217471168).

1484382672 is an abundant number, since it is smaller than the sum of its proper divisors (2950559664).

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

1484382672 is a wasteful number, since it uses less digits than its factorization.

1484382672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36998 (or 36983 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 1484382672 is about 38527.6870834469. The cubic root of 1484382672 is about 1140.7276241255.

The spelling of 1484382672 in words is "one billion, four hundred eighty-four million, three hundred eighty-two thousand, six hundred seventy-two".