407380 has 12 divisors (see below), whose sum is σ = 855540. Its totient is φ = 162944.

The previous prime is 407377. The next prime is 407383. The reversal of 407380 is 83704.

407380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (407377) and next prime (407383).

It can be written as a sum of positive squares in 2 ways, for example, as 219024 + 188356 = 468^2 + 434^2 .

It is a plaindrome in base 13.

It is a congruent number.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10165 + ... + 10204.

It is an arithmetic number, because the mean of its divisors is an integer number (71295).

2⁴⁰⁷³⁸⁰ is an apocalyptic number.

It is an amenable number.

407380 is an abundant number, since it is smaller than the sum of its proper divisors (448160).

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

407380 is a wasteful number, since it uses less digits than its factorization.

407380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20378 (or 20376 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 407380 is about 638.2632685656. The cubic root of 407380 is about 74.1310072794.

It can be divided in two parts, 407 and 380, that added together give a palindrome (787).

The spelling of 407380 in words is "four hundred seven thousand, three hundred eighty".