1392324864 has 288 divisors, whose sum is σ = 4575943680. Its totient is φ = 366944256.

The previous prime is 1392324859. The next prime is 1392324877. The reversal of 1392324864 is 4684232931.

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

It is an unprimeable number.

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, 4392034 + ... + 4392350.

Almost surely, 2^1392324864 is an apocalyptic number.

1392324864 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 1392324864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287971840).

1392324864 is an abundant number, since it is smaller than the sum of its proper divisors (3183618816).

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

1392324864 is a wasteful number, since it uses less digits than its factorization.

1392324864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 391 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 1392324864 is about 37313.8695929543. The cubic root of 1392324864 is about 1116.6408877789.

The spelling of 1392324864 in words is "one billion, three hundred ninety-two million, three hundred twenty-four thousand, eight hundred sixty-four".