407240 has 16 divisors (see below), whose sum is σ = 916380. Its totient is φ = 162880.

The previous prime is 407233. The next prime is 407249. The reversal of 407240 is 42704.

It can be written as a sum of positive squares in 2 ways, for example, as 407044 + 196 = 638^2 + 14^2 .

It is not an unprimeable number, because it can be changed into a prime (407249) 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, 5051 + ... + 5130.

2⁴⁰⁷²⁴⁰ is an apocalyptic number.

407240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407240 is an abundant number, since it is smaller than the sum of its proper divisors (509140).

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

407240 is a wasteful number, since it uses less digits than its factorization.

407240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10192 (or 10188 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 407240 is about 638.1535865291. The cubic root of 407240 is about 74.1225143652.

Adding to 407240 its reverse (42704), we get a palindrome (449944).

The spelling of 407240 in words is "four hundred seven thousand, two hundred forty", and thus it is an iban number.