406021000 has 128 divisors (see below), whose sum is σ = 1184751360. Its totient is φ = 126528000.

The previous prime is 406020973. The next prime is 406021019. The reversal of 406021000 is 120604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74364 + ... + 79636.

It is an arithmetic number, because the mean of its divisors is an integer number (9255870).

Almost surely, 2^406021000 is an apocalyptic number.

406021000 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 406021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592375680).

406021000 is an abundant number, since it is smaller than the sum of its proper divisors (778730360).

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

406021000 is a wasteful number, since it uses less digits than its factorization.

406021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5312 (or 5298 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 406021000 is about 20149.9627791220. The cubic root of 406021000 is about 740.4848295918.

Adding to 406021000 its reverse (120604), we get a palindrome (406141604).

The spelling of 406021000 in words is "four hundred six million, twenty-one thousand".