407472 has 40 divisors (see below), whose sum is σ = 1135344. Its totient is φ = 125184.

The previous prime is 407471. The next prime is 407483. The reversal of 407472 is 274704.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 407472.

It is not an unprimeable number, because it can be changed into a prime (407471) 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, 298 + ... + 950.

2⁴⁰⁷⁴⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567672).

407472 is an abundant number, since it is smaller than the sum of its proper divisors (727872).

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

407472 is a wasteful number, since it uses less digits than its factorization.

407472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 407472 is about 638.3353350708. The cubic root of 407472 is about 74.1365872779.

The spelling of 407472 in words is "four hundred seven thousand, four hundred seventy-two", and thus it is an iban number.