406027020 has 96 divisors (see below), whose sum is σ = 1302336000. Its totient is φ = 92588544.

The previous prime is 406027019. The next prime is 406027051. The reversal of 406027020 is 20720604.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 238131 + ... + 239829.

It is an arithmetic number, because the mean of its divisors is an integer number (13566000).

Almost surely, 2^406027020 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 406027020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651168000).

406027020 is an abundant number, since it is smaller than the sum of its proper divisors (896308980).

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

406027020 is a wasteful number, since it uses less digits than its factorization.

406027020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 406027020 is about 20150.1121584968. The cubic root of 406027020 is about 740.4884892520.

Adding to 406027020 its reverse (20720604), we get a palindrome (426747624).

The spelling of 406027020 in words is "four hundred six million, twenty-seven thousand, twenty".