407684 has 6 divisors (see below), whose sum is σ = 713454. Its totient is φ = 203840.

The previous prime is 407669. The next prime is 407699. The reversal of 407684 is 486704.

It is an interprime number because it is at equal distance from previous prime (407669) and next prime (407699).

It can be written as a sum of positive squares in only one way, i.e., 222784 + 184900 = 472^2 + 430^2 .

It is an unprimeable number.

407684 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50957 + ... + 50964.

It is an arithmetic number, because the mean of its divisors is an integer number (118909).

2⁴⁰⁷⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

407684 is a deficient number, since it is larger than the sum of its proper divisors (305770).

407684 is a wasteful number, since it uses less digits than its factorization.

407684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101925 (or 101923 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 407684 is about 638.5013703979. The cubic root of 407684 is about 74.1494423383.

The spelling of 407684 in words is "four hundred seven thousand, six hundred eighty-four".