390706464 has 96 divisors (see below), whose sum is σ = 1052182656. Its totient is φ = 126904320.

The previous prime is 390706457. The next prime is 390706469. The reversal of 390706464 is 464607093.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×390706464² = 305303082022766592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (390706469) 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 15 ways as a sum of consecutive naturals, for example, 802029 + ... + 802515.

It is an arithmetic number, because the mean of its divisors is an integer number (10960236).

Almost surely, 2^390706464 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 390706464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526091328).

390706464 is an abundant number, since it is smaller than the sum of its proper divisors (661476192).

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

390706464 is a wasteful number, since it uses less digits than its factorization.

390706464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 390706464 is about 19766.2961629133. The cubic root of 390706464 is about 731.0552474864.

It can be divided in two parts, 390706 and 464, that added together give a triangular number (391170 = T₈₈₄).

The spelling of 390706464 in words is "three hundred ninety million, seven hundred six thousand, four hundred sixty-four".