407295 has 32 divisors (see below), whose sum is σ = 829440. Its totient is φ = 185760.

The previous prime is 407291. The next prime is 407299. The reversal of 407295 is 592704.

It is an interprime number because it is at equal distance from previous prime (407291) and next prime (407299).

It is not a de Polignac number, because 407295 - 2² = 407291 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 730 + ... + 1160.

It is an arithmetic number, because the mean of its divisors is an integer number (25920).

2⁴⁰⁷²⁹⁵ is an apocalyptic number.

407295 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

407295 is an abundant number, since it is smaller than the sum of its proper divisors (422145).

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

407295 is a wasteful number, since it uses less digits than its factorization.

407295 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 407295 is about 638.1966781487. The cubic root of 407295 is about 74.1258510993.

Adding to 407295 its reverse (592704), we get a palindrome (999999).

The spelling of 407295 in words is "four hundred seven thousand, two hundred ninety-five".