407040 has 80 divisors (see below), whose sum is σ = 1325808. Its totient is φ = 106496.

The previous prime is 407023. The next prime is 407047. The reversal of 407040 is 40704.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 (407047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7654 + ... + 7706.

2⁴⁰⁷⁰⁴⁰ is an apocalyptic number.

407040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662904).

407040 is an abundant number, since it is smaller than the sum of its proper divisors (918768).

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

407040 is an equidigital number, since it uses as much as digits as its factorization.

407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 407040 is about 637.9968651961. The cubic root of 407040 is about 74.1103782536.

Adding to 407040 its reverse (40704), we get a palindrome (447744).

The spelling of 407040 in words is "four hundred seven thousand, forty", and thus it is an iban number.