407125 has 8 divisors (see below), whose sum is σ = 508248. Its totient is φ = 325600.

The previous prime is 407119. The next prime is 407137. The reversal of 407125 is 521704.

It can be written as a sum of positive squares in 4 ways, for example, as 81 + 407044 = 9^2 + 638^2 .

It is not a de Polignac number, because 407125 - 2¹³ = 398933 is a prime.

It is an Ulam number.

It is a Duffinian number.

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, 1504 + ... + 1753.

It is an arithmetic number, because the mean of its divisors is an integer number (63531).

2⁴⁰⁷¹²⁵ is an apocalyptic number.

It is an amenable number.

407125 is a deficient number, since it is larger than the sum of its proper divisors (101123).

407125 is an equidigital number, since it uses as much as digits as its factorization.

407125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 407125 is about 638.0634764661. The cubic root of 407125 is about 74.1155365867.

Adding to 407125 its reverse (521704), we get a palindrome (928829).

It can be divided in two parts, 4071 and 25, that added together give a 12-th power (4096 = 2¹²).

The spelling of 407125 in words is "four hundred seven thousand, one hundred twenty-five".