390458477664 has 288 divisors, whose sum is σ = 1173028487904. Its totient is φ = 123065180160.

The previous prime is 390458477663. The next prime is 390458477671. The reversal of 390458477664 is 466774854093.

It is a happy number.

390458477664 is a `hidden beast` number, since 390 + 45 + 84 + 7 + 76 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390458477663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51939634 + ... + 51947150.

It is an arithmetic number, because the mean of its divisors is an integer number (4073015583).

Almost surely, 2^390458477664 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 390458477664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586514243952).

390458477664 is an abundant number, since it is smaller than the sum of its proper divisors (782570010240).

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

390458477664 is a wasteful number, since it uses less digits than its factorization.

390458477664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7710 (or 7699 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 390458477664 in words is "three hundred ninety billion, four hundred fifty-eight million, four hundred seventy-seven thousand, six hundred sixty-four".