407264 has 48 divisors (see below), whose sum is σ = 952560. Its totient is φ = 168960.

The previous prime is 407263. The next prime is 407273. The reversal of 407264 is 462704.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 407264.

It is not an unprimeable number, because it can be changed into a prime (407263) 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, 4532 + ... + 4620.

It is an arithmetic number, because the mean of its divisors is an integer number (19845).

2⁴⁰⁷²⁶⁴ is an apocalyptic number.

407264 is a gapful number since it is divisible by the number (44) 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 407264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476280).

407264 is an abundant number, since it is smaller than the sum of its proper divisors (545296).

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

407264 is a wasteful number, since it uses less digits than its factorization.

407264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 407264 is about 638.1723905028. The cubic root of 407264 is about 74.1239704316.

Adding to 407264 its reverse (462704), we get a palindrome (869968).

The spelling of 407264 in words is "four hundred seven thousand, two hundred sixty-four".