407952 has 30 divisors (see below), whose sum is σ = 1142102. Its totient is φ = 135936.

The previous prime is 407947. The next prime is 407959. The reversal of 407952 is 259704.

407952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 331776 + 76176 = 576^2 + 276^2 .

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407959) by changing a digit.

407952 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 5 ways as a sum of consecutive naturals, for example, 1273 + ... + 1560.

2⁴⁰⁷⁹⁵² is an apocalyptic number.

It is an amenable number.

407952 is an abundant number, since it is smaller than the sum of its proper divisors (734150).

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

407952 is a wasteful number, since it uses less digits than its factorization.

407952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847 (or 2838 counting only the distinct ones).

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

The square root of 407952 is about 638.7112023442. The cubic root of 407952 is about 74.1656866989.

The spelling of 407952 in words is "four hundred seven thousand, nine hundred fifty-two".