407904125 has 8 divisors (see below), whose sum is σ = 509064504. Its totient is φ = 326323200.

The previous prime is 407904089. The next prime is 407904131. The reversal of 407904125 is 521409704.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 45306361 + 362597764 = 6731^2 + 19042^2 .

It is not a de Polignac number, because 407904125 - 2⁸ = 407903869 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 407904091 and 407904100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1631492 + ... + 1631741.

It is an arithmetic number, because the mean of its divisors is an integer number (63633063).

Almost surely, 2^407904125 is an apocalyptic number.

It is an amenable number.

407904125 is a deficient number, since it is larger than the sum of its proper divisors (101160379).

407904125 is an equidigital number, since it uses as much as digits as its factorization.

407904125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263248 (or 3263238 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 407904125 is about 20196.6364773940. The cubic root of 407904125 is about 741.6278535988.

The spelling of 407904125 in words is "four hundred seven million, nine hundred four thousand, one hundred twenty-five".