406424000 has 112 divisors (see below), whose sum is σ = 1018495296. Its totient is φ = 160640000.

The previous prime is 406423999. The next prime is 406424033. The reversal of 406424000 is 424604.

406424000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 807749 + ... + 808251.

It is an arithmetic number, because the mean of its divisors is an integer number (9093708).

Almost surely, 2^406424000 is an apocalyptic number.

406424000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509247648).

406424000 is an abundant number, since it is smaller than the sum of its proper divisors (612071296).

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

406424000 is a wasteful number, since it uses less digits than its factorization.

406424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 406424000 is about 20159.9603174213. The cubic root of 406424000 is about 740.7297403305.

Adding to 406424000 its reverse (424604), we get a palindrome (406848604).

The spelling of 406424000 in words is "four hundred six million, four hundred twenty-four thousand".