407280 has 40 divisors (see below), whose sum is σ = 1263312. Its totient is φ = 108544.

The previous prime is 407273. The next prime is 407287. The reversal of 407280 is 82704.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (407273) and next prime (407287).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407287) by changing a digit.

407280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 609 + ... + 1088.

2⁴⁰⁷²⁸⁰ is an apocalyptic number.

407280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407280 is an abundant number, since it is smaller than the sum of its proper divisors (856032).

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

407280 is a wasteful number, since it uses less digits than its factorization.

407280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 407280 is about 638.1849261774. The cubic root of 407280 is about 74.1249411107.

Adding to 407280 its reverse (82704), we get a palindrome (489984).

The spelling of 407280 in words is "four hundred seven thousand, two hundred eighty".