390687840 has 96 divisors (see below), whose sum is σ = 1367422560. Its totient is φ = 104182272.

The previous prime is 390687769. The next prime is 390687877. The reversal of 390687840 is 48786093.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 40899 + ... + 49538.

It is an arithmetic number, because the mean of its divisors is an integer number (14243985).

Almost surely, 2^390687840 is an apocalyptic number.

390687840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

390687840 is an abundant number, since it is smaller than the sum of its proper divisors (976734720).

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

390687840 is a wasteful number, since it uses less digits than its factorization.

390687840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90461 (or 90447 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 390687840 is about 19765.8250523473. The cubic root of 390687840 is about 731.0436314433.

The spelling of 390687840 in words is "three hundred ninety million, six hundred eighty-seven thousand, eight hundred forty".