1482792864 has 96 divisors (see below), whose sum is σ = 4457940480. Its totient is φ = 422744832.

The previous prime is 1482792859. The next prime is 1482792869. The reversal of 1482792864 is 4682972841.

It is an interprime number because it is at equal distance from previous prime (1482792859) and next prime (1482792869).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1482792869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349347 + ... + 353565.

It is an arithmetic number, because the mean of its divisors is an integer number (46436880).

Almost surely, 2^1482792864 is an apocalyptic number.

1482792864 is a gapful number since it is divisible by the number (14) 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 1482792864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228970240).

1482792864 is an abundant number, since it is smaller than the sum of its proper divisors (2975147616).

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

1482792864 is a wasteful number, since it uses less digits than its factorization.

1482792864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4762 (or 4754 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The square root of 1482792864 is about 38507.0495364161. The cubic root of 1482792864 is about 1140.3202301363.

The spelling of 1482792864 in words is "one billion, four hundred eighty-two million, seven hundred ninety-two thousand, eight hundred sixty-four".