407340 has 72 divisors (see below), whose sum is σ = 1292928. Its totient is φ = 103680.

The previous prime is 407321. The next prime is 407347. The reversal of 407340 is 43704.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (407347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5544 + ... + 5616.

2⁴⁰⁷³⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646464).

407340 is an abundant number, since it is smaller than the sum of its proper divisors (885588).

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

407340 is a wasteful number, since it uses less digits than its factorization.

407340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 407340 is about 638.2319327643. The cubic root of 407340 is about 74.1285809311.

It can be divided in two parts, 407 and 340, that added together give a palindrome (747).

The spelling of 407340 in words is "four hundred seven thousand, three hundred forty", and thus it is an iban number.