407320 has 32 divisors (see below), whose sum is σ = 972000. Its totient is φ = 153088.

The previous prime is 407317. The next prime is 407321. The reversal of 407320 is 23704.

It is a junction number, because it is equal to n+sod(n) for n = 407294 and 407303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407321) 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, 381 + ... + 979.

It is an arithmetic number, because the mean of its divisors is an integer number (30375).

2⁴⁰⁷³²⁰ is an apocalyptic number.

407320 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 407320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486000).

407320 is an abundant number, since it is smaller than the sum of its proper divisors (564680).

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

407320 is a wasteful number, since it uses less digits than its factorization.

407320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 407320 is about 638.2162642866. The cubic root of 407320 is about 74.1273676973.

It can be divided in two parts, 407 and 320, that added together give a palindrome (727).

The spelling of 407320 in words is "four hundred seven thousand, three hundred twenty", and thus it is an iban number.