406512 has 40 divisors (see below), whose sum is σ = 1168080. Its totient is φ = 135360.

The previous prime is 406507. The next prime is 406513. The reversal of 406512 is 215604.

It is a happy number.

It is a super-2 number, since 2×406512² = 330504012288, which contains 22 as substring.

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

It is a zygodrome in base 2.

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 406512.

It is not an unprimeable number, because it can be changed into a prime (406513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39 + ... + 902.

It is an arithmetic number, because the mean of its divisors is an integer number (29202).

2⁴⁰⁶⁵¹² 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 406512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584040).

406512 is an abundant number, since it is smaller than the sum of its proper divisors (761568).

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

406512 is a wasteful number, since it uses less digits than its factorization.

406512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 406512 is about 637.5829357817. The cubic root of 406512 is about 74.0783198060.

The spelling of 406512 in words is "four hundred six thousand, five hundred twelve".