407388 has 24 divisors (see below), whose sum is σ = 1006992. Its totient is φ = 127744.

The previous prime is 407383. The next prime is 407401. The reversal of 407388 is 883704.

407388 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 407388.

It is not an unprimeable number, because it can be changed into a prime (407383) by changing a digit.

407388 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 795 + ... + 1202.

It is an arithmetic number, because the mean of its divisors is an integer number (41958).

2⁴⁰⁷³⁸⁸ is an apocalyptic number.

It is an amenable number.

407388 is an abundant number, since it is smaller than the sum of its proper divisors (599604).

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

407388 is a wasteful number, since it uses less digits than its factorization.

407388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 407388 is about 638.2695355412. The cubic root of 407388 is about 74.1314925300.

The spelling of 407388 in words is "four hundred seven thousand, three hundred eighty-eight".