407433825 has 72 divisors (see below), whose sum is σ = 758043000. Its totient is φ = 209018880.

The previous prime is 407433821. The next prime is 407433827. The reversal of 407433825 is 528334704.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 9072144 + 398361681 = 3012^2 + 19959^2 .

It is not a de Polignac number, because 407433825 - 2² = 407433821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 407433825.

It is not an unprimeable number, because it can be changed into a prime (407433821) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 907201 + ... + 907649.

It is an arithmetic number, because the mean of its divisors is an integer number (10528375).

Almost surely, 2^407433825 is an apocalyptic number.

407433825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

407433825 is a deficient number, since it is larger than the sum of its proper divisors (350609175).

407433825 is a wasteful number, since it uses less digits than its factorization.

407433825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 407433825 is about 20184.9900916498. The cubic root of 407433825 is about 741.3427198374.

The spelling of 407433825 in words is "four hundred seven million, four hundred thirty-three thousand, eight hundred twenty-five".