393749730 has 192 divisors, whose sum is σ = 1192164480. Its totient is φ = 89907840.

The previous prime is 393749723. The next prime is 393749737. The reversal of 393749730 is 37947393.

It is an interprime number because it is at equal distance from previous prime (393749723) and next prime (393749737).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (393749737) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2275924 + ... + 2276096.

It is an arithmetic number, because the mean of its divisors is an integer number (6209190).

Almost surely, 2^393749730 is an apocalyptic number.

393749730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 393749730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596082240).

393749730 is an abundant number, since it is smaller than the sum of its proper divisors (798414750).

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

393749730 is a wasteful number, since it uses less digits than its factorization.

393749730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 45.

The square root of 393749730 is about 19843.1280296227. The cubic root of 393749730 is about 732.9484369080.

The spelling of 393749730 in words is "three hundred ninety-three million, seven hundred forty-nine thousand, seven hundred thirty".