1382292864 has 192 divisors, whose sum is σ = 4343976000. Its totient is φ = 436326912.

The previous prime is 1382292851. The next prime is 1382292881. The reversal of 1382292864 is 4682922831.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 589807 + ... + 592145.

It is an arithmetic number, because the mean of its divisors is an integer number (22624875).

Almost surely, 2^1382292864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1382292864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171988000).

1382292864 is an abundant number, since it is smaller than the sum of its proper divisors (2961683136).

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

1382292864 is an equidigital number, since it uses as much as digits as its factorization.

1382292864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2363 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 1382292864 is about 37179.1993458708. The cubic root of 1382292864 is about 1113.9525414728.

The spelling of 1382292864 in words is "one billion, three hundred eighty-two million, two hundred ninety-two thousand, eight hundred sixty-four".