406146000 has 320 divisors, whose sum is σ = 1455906816. Its totient is φ = 96768000.

The previous prime is 406145921. The next prime is 406146011. The reversal of 406146000 is 641604.

It is a congruent number.

It is an unprimeable number.

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, 3197937 + ... + 3198063.

Almost surely, 2^406146000 is an apocalyptic number.

406146000 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 406146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727953408).

406146000 is an abundant number, since it is smaller than the sum of its proper divisors (1049760816).

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

406146000 is a wasteful number, since it uses less digits than its factorization.

406146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 406146000 is about 20153.0642831307. The cubic root of 406146000 is about 740.5608117919.

Adding to 406146000 its reverse (641604), we get a palindrome (406787604).

The spelling of 406146000 in words is "four hundred six million, one hundred forty-six thousand".