390481 has 12 divisors (see below), whose sum is σ = 489972. Its totient is φ = 308448.

The previous prime is 390479. The next prime is 390487. The reversal of 390481 is 184093.

390481 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 19600 + 370881 = 140^2 + 609^2 .

It is not a de Polignac number, because 390481 - 2¹ = 390479 is a prime.

It is a super-2 number, since 2×390481² = 304950822722, which contains 22 as substring.

390481 is a modest number, since divided by 481 gives 390 as remainder.

390481 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (390487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 331 + ... + 943.

It is an arithmetic number, because the mean of its divisors is an integer number (40831).

2³⁹⁰⁴⁸¹ is an apocalyptic number.

It is an amenable number.

390481 is a deficient number, since it is larger than the sum of its proper divisors (99491).

390481 is a wasteful number, since it uses less digits than its factorization.

390481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 390481 is about 624.8847893812. The cubic root of 390481 is about 73.0914597688.

The spelling of 390481 in words is "three hundred ninety thousand, four hundred eighty-one".