393204240 has 640 divisors, whose sum is σ = 1699891200. Its totient is φ = 82114560.

The previous prime is 393204239. The next prime is 393204241. The reversal of 393204240 is 42402393.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (393204239) and next prime (393204241).

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

It is not an unprimeable number, because it can be changed into a prime (393204241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5868687 + ... + 5868753.

It is an arithmetic number, because the mean of its divisors is an integer number (2656080).

Almost surely, 2^393204240 is an apocalyptic number.

393204240 is a gapful number since it is divisible by the number (30) 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 393204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849945600).

393204240 is an abundant number, since it is smaller than the sum of its proper divisors (1306686960).

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

393204240 is a wasteful number, since it uses less digits than its factorization.

393204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 393204240 is about 19829.3782050774. The cubic root of 393204240 is about 732.6098116460.

The spelling of 393204240 in words is "three hundred ninety-three million, two hundred four thousand, two hundred forty".