407212432 has 60 divisors (see below), whose sum is σ = 897247260. Its totient is φ = 178689280.

The previous prime is 407212423. The next prime is 407212439. The reversal of 407212432 is 234212704.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 256512256 + 150700176 = 16016^2 + 12276^2 .

It is a junction number, because it is equal to n+sod(n) for n = 407212397 and 407212406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407212439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52518 + ... + 59770.

It is an arithmetic number, because the mean of its divisors is an integer number (14954121).

Almost surely, 2^407212432 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 407212432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448623630).

407212432 is an abundant number, since it is smaller than the sum of its proper divisors (490034828).

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

407212432 is a wasteful number, since it uses less digits than its factorization.

407212432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7312 (or 7295 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 407212432 is about 20179.5052466605. The cubic root of 407212432 is about 741.2084175975.

The spelling of 407212432 in words is "four hundred seven million, two hundred twelve thousand, four hundred thirty-two".