406306124 has 48 divisors (see below), whose sum is σ = 843017280. Its totient is φ = 167650560.

The previous prime is 406306123. The next prime is 406306151. The reversal of 406306124 is 421603604.

It is a super-3 number, since 3×406306124³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 406306093 and 406306102.

It is not an unprimeable number, because it can be changed into a prime (406306123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 536354 + ... + 537110.

It is an arithmetic number, because the mean of its divisors is an integer number (17562860).

Almost surely, 2^406306124 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 406306124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421508640).

406306124 is an abundant number, since it is smaller than the sum of its proper divisors (436711156).

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

406306124 is a wasteful number, since it uses less digits than its factorization.

406306124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 406306124 is about 20157.0365877527. The cubic root of 406306124 is about 740.6581216092.

Adding to 406306124 its reverse (421603604), we get a palindrome (827909728).

The spelling of 406306124 in words is "four hundred six million, three hundred six thousand, one hundred twenty-four".