407960 has 64 divisors (see below), whose sum is σ = 1105920. Its totient is φ = 132480.

The previous prime is 407959. The next prime is 407969. The reversal of 407960 is 69704.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8657 + ... + 8703.

It is an arithmetic number, because the mean of its divisors is an integer number (17280).

2⁴⁰⁷⁹⁶⁰ is an apocalyptic number.

407960 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 407960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552960).

407960 is an abundant number, since it is smaller than the sum of its proper divisors (697960).

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

407960 is a wasteful number, since it uses less digits than its factorization.

407960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 407960 is about 638.7174649248. The cubic root of 407960 is about 74.1661714958.

It can be divided in two parts, 40 and 7960, that added together give a cube (8000 = 20³).

The spelling of 407960 in words is "four hundred seven thousand, nine hundred sixty".