1393230240 has 384 divisors, whose sum is σ = 5264663040. Its totient is φ = 342835200.

The previous prime is 1393230217. The next prime is 1393230269. The reversal of 1393230240 is 420323931.

1393230240 = 236² + 237² + ... + 1612².

It is a happy number.

1393230240 is a `hidden beast` number, since 1 + 393 + 2 + 30 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 4479685 + ... + 4479995.

It is an arithmetic number, because the mean of its divisors is an integer number (13710060).

Almost surely, 2^1393230240 is an apocalyptic number.

1393230240 is a gapful number since it is divisible by the number (10) 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 1393230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632331520).

1393230240 is an abundant number, since it is smaller than the sum of its proper divisors (3871432800).

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

1393230240 is a wasteful number, since it uses less digits than its factorization.

1393230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 1393230240 is about 37325.9995177624. Note that the first 3 decimals coincide. The cubic root of 1393230240 is about 1116.8828717277.

The spelling of 1393230240 in words is "one billion, three hundred ninety-three million, two hundred thirty thousand, two hundred forty".