407048 has 32 divisors (see below), whose sum is σ = 839160. Its totient is φ = 184320.

The previous prime is 407047. The next prime is 407059. The reversal of 407048 is 840704.

It can be written as a sum of positive squares in 4 ways, for example, as 315844 + 91204 = 562^2 + 302^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5540 + ... + 5612.

2⁴⁰⁷⁰⁴⁸ is an apocalyptic number.

It is an amenable number.

407048 is an abundant number, since it is smaller than the sum of its proper divisors (432112).

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

407048 is a wasteful number, since it uses less digits than its factorization.

407048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 407048 is about 638.0031347885. The cubic root of 407048 is about 74.1108637744.

The spelling of 407048 in words is "four hundred seven thousand, forty-eight".