406952 has 48 divisors (see below), whose sum is σ = 966240. Its totient is φ = 157248.

The previous prime is 406951. The next prime is 406969. The reversal of 406952 is 259604.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nialpdrome in base 14.

It is a zygodrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 406952.

It is not an unprimeable number, because it can be changed into a prime (406951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9443 + ... + 9485.

It is an arithmetic number, because the mean of its divisors is an integer number (20130).

2⁴⁰⁶⁹⁵² 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 406952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483120).

406952 is an abundant number, since it is smaller than the sum of its proper divisors (559288).

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

406952 is a wasteful number, since it uses less digits than its factorization.

406952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 406952 is about 637.9278956120. The cubic root of 406952 is about 74.1050371050.

The spelling of 406952 in words is "four hundred six thousand, nine hundred fifty-two".