1382244864 has 640 divisors, whose sum is σ = 5279662080. Its totient is φ = 309657600.

The previous prime is 1382244841. The next prime is 1382244911. The reversal of 1382244864 is 4684422831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (294912) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44588529 + ... + 44588559.

It is an arithmetic number, because the mean of its divisors is an integer number (8249472).

Almost surely, 2^1382244864 is an apocalyptic number.

1382244864 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 1382244864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639831040).

1382244864 is an abundant number, since it is smaller than the sum of its proper divisors (3897417216).

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

1382244864 is a wasteful number, since it uses less digits than its factorization.

1382244864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 96 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 1382244864 is about 37178.5538180279. The cubic root of 1382244864 is about 1113.9396473551.

The spelling of 1382244864 in words is "one billion, three hundred eighty-two million, two hundred forty-four thousand, eight hundred sixty-four".