407160 has 128 divisors (see below), whose sum is σ = 1512000. Its totient is φ = 96768.

The previous prime is 407153. The next prime is 407177. The reversal of 407160 is 61704.

407160 = 28² + 29² + ... + 107².

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

407160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14026 + ... + 14054.

2⁴⁰⁷¹⁶⁰ is an apocalyptic number.

407160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756000).

407160 is an abundant number, since it is smaller than the sum of its proper divisors (1104840).

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

407160 is a wasteful number, since it uses less digits than its factorization.

407160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 407160 is about 638.0909026150. The cubic root of 407160 is about 74.1176603975.

Adding to 407160 its reverse (61704), we get a palindrome (468864).

The spelling of 407160 in words is "four hundred seven thousand, one hundred sixty".