390929406 has 64 divisors (see below), whose sum is σ = 927399936. Its totient is φ = 107503200.

The previous prime is 390929369. The next prime is 390929443. The reversal of 390929406 is 604929093.

It is an interprime number because it is at equal distance from previous prime (390929369) and next prime (390929443).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274011 + ... + 275433.

It is an arithmetic number, because the mean of its divisors is an integer number (14490624).

Almost surely, 2^390929406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390929406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463699968).

390929406 is an abundant number, since it is smaller than the sum of its proper divisors (536470530).

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

390929406 is a wasteful number, since it uses less digits than its factorization.

390929406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677.

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 390929406 is about 19771.9348066900. The cubic root of 390929406 is about 731.1942708059.

The spelling of 390929406 in words is "three hundred ninety million, nine hundred twenty-nine thousand, four hundred six".