1393252992 has 192 divisors, whose sum is σ = 4124390400. Its totient is φ = 451325952.

The previous prime is 1393252979. The next prime is 1393252997. The reversal of 1393252992 is 2992523931.

1393252992 is a `hidden beast` number, since 1 + 3 + 9 + 32 + 529 + 92 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1393252997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10970433 + ... + 10970559.

It is an arithmetic number, because the mean of its divisors is an integer number (21481200).

Almost surely, 2^1393252992 is an apocalyptic number.

1393252992 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 1393252992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062195200).

1393252992 is an abundant number, since it is smaller than the sum of its proper divisors (2731137408).

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

1393252992 is a wasteful number, since it uses less digits than its factorization.

1393252992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 328 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The square root of 1393252992 is about 37326.3042906742. The cubic root of 1393252992 is about 1116.8889514074. Note that the first 3 decimals are identical.

The spelling of 1393252992 in words is "one billion, three hundred ninety-three million, two hundred fifty-two thousand, nine hundred ninety-two".