390457601 has 8 divisors (see below), whose sum is σ = 394827144. Its totient is φ = 386104320.

The previous prime is 390457589. The next prime is 390457603. The reversal of 390457601 is 106754093.

It is a Cunningham number, because it is equal to 19760²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 6885376 + 383572225 = 2624^2 + 19585^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-390457601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (390457603) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 47861 + ... + 55421.

It is an arithmetic number, because the mean of its divisors is an integer number (49353393).

Almost surely, 2^390457601 is an apocalyptic number.

It is an amenable number.

390457601 is a deficient number, since it is larger than the sum of its proper divisors (4369543).

390457601 is a wasteful number, since it uses less digits than its factorization.

390457601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8131.

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 390457601 is about 19760.0000253036. Note that the first 4 decimals coincide. The cubic root of 390457601 is about 730.8999977356.

The spelling of 390457601 in words is "three hundred ninety million, four hundred fifty-seven thousand, six hundred one".