407322 has 32 divisors (see below), whose sum is σ = 955200. Its totient is φ = 128304.

The previous prime is 407321. The next prime is 407347. The reversal of 407322 is 223704.

It is a happy number.

It is a super-2 number, since 2×407322² = 331822423368, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 407295 and 407304.

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 15 ways as a sum of consecutive naturals, for example, 828 + ... + 1224.

It is an arithmetic number, because the mean of its divisors is an integer number (29850).

2⁴⁰⁷³²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477600).

407322 is an abundant number, since it is smaller than the sum of its proper divisors (547878).

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

407322 is a wasteful number, since it uses less digits than its factorization.

407322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 421 counting only the distinct ones).

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

The square root of 407322 is about 638.2178311517. The cubic root of 407322 is about 74.1274890225.

It can be divided in two parts, 4073 and 22, that added together give a triangular number (4095 = T₉₀).

The spelling of 407322 in words is "four hundred seven thousand, three hundred twenty-two", and thus it is an iban number.