407148 has 48 divisors (see below), whose sum is σ = 1123584. Its totient is φ = 112320.

The previous prime is 407137. The next prime is 407149. The reversal of 407148 is 841704.

407148 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (407149) by changing a digit.

407148 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 15 ways as a sum of consecutive naturals, for example, 3043 + ... + 3173.

It is an arithmetic number, because the mean of its divisors is an integer number (23408).

2⁴⁰⁷¹⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561792).

407148 is an abundant number, since it is smaller than the sum of its proper divisors (716436).

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

407148 is a wasteful number, since it uses less digits than its factorization.

407148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 407148 is about 638.0814994967. The cubic root of 407148 is about 74.1169322475.

It can be divided in two parts, 407 and 148, that added together give a palindrome (555).

The spelling of 407148 in words is "four hundred seven thousand, one hundred forty-eight".