390269025648 has 480 divisors, whose sum is σ = 1185524121600. Its totient is φ = 119613542400.

The previous prime is 390269025623. The next prime is 390269025673. The reversal of 390269025648 is 846520962093.

It is a happy number.

390269025648 is a `hidden beast` number, since 3 + 90 + 269 + 0 + 256 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (390269025623) and next prime (390269025673).

It is a junction number, because it is equal to n+sod(n) for n = 390269025594 and 390269025603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2043293233 + ... + 2043293423.

It is an arithmetic number, because the mean of its divisors is an integer number (2469841920).

Almost surely, 2^390269025648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390269025648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592762060800).

390269025648 is an abundant number, since it is smaller than the sum of its proper divisors (795255095952).

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

390269025648 is a wasteful number, since it uses less digits than its factorization.

390269025648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 390269025648 in words is "three hundred ninety billion, two hundred sixty-nine million, twenty-five thousand, six hundred forty-eight".