407940 has 48 divisors (see below), whose sum is σ = 1232448. Its totient is φ = 100224.

The previous prime is 407923. The next prime is 407947. The reversal of 407940 is 49704.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 407940.

It is not an unprimeable number, because it can be changed into a prime (407947) by changing a digit.

407940 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 15 ways as a sum of consecutive naturals, for example, 519 + ... + 1041.

It is an arithmetic number, because the mean of its divisors is an integer number (25676).

2⁴⁰⁷⁹⁴⁰ 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 407940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616224).

407940 is an abundant number, since it is smaller than the sum of its proper divisors (824508).

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

407940 is a wasteful number, since it uses less digits than its factorization.

407940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 407940 is about 638.7018083582. The cubic root of 407940 is about 74.1649594916.

The spelling of 407940 in words is "four hundred seven thousand, nine hundred forty".