407955125 has 16 divisors (see below), whose sum is σ = 521552304. Its totient is φ = 318400000.

The previous prime is 407955113. The next prime is 407955127. The reversal of 407955125 is 521559704.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 373919569 + 34035556 = 19337^2 + 5834^2 .

It is not a de Polignac number, because 407955125 - 2¹² = 407951029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407955127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34676 + ... + 44925.

It is an arithmetic number, because the mean of its divisors is an integer number (32597019).

Almost surely, 2^407955125 is an apocalyptic number.

It is an amenable number.

407955125 is a deficient number, since it is larger than the sum of its proper divisors (113597179).

407955125 is an equidigital number, since it uses as much as digits as its factorization.

407955125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79657 (or 79647 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 38.

The square root of 407955125 is about 20197.8990244035. The cubic root of 407955125 is about 741.6587607344.

The spelling of 407955125 in words is "four hundred seven million, nine hundred fifty-five thousand, one hundred twenty-five".