406026000 has 320 divisors, whose sum is σ = 1488714240. Its totient is φ = 105753600.

The previous prime is 406025999. The next prime is 406026001. The reversal of 406026000 is 620604.

406026000 is a `hidden beast` number, since 4 + 0 + 60 + 2 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (406025999) and next prime (406026001).

It is a super-2 number, since 2×406026000² = 329714225352000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (406026001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3941949 + ... + 3942051.

It is an arithmetic number, because the mean of its divisors is an integer number (4652232).

Almost surely, 2^406026000 is an apocalyptic number.

406026000 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 406026000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744357120).

406026000 is an abundant number, since it is smaller than the sum of its proper divisors (1082688240).

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

406026000 is a wasteful number, since it uses less digits than its factorization.

406026000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 406026000 is about 20150.0868484481. The cubic root of 406026000 is about 740.4878691792.

Adding to 406026000 its reverse (620604), we get a palindrome (406646604).

The spelling of 406026000 in words is "four hundred six million, twenty-six thousand".