406649568 has 192 divisors, whose sum is σ = 1240952832. Its totient is φ = 115568640.

The previous prime is 406649543. The next prime is 406649569. The reversal of 406649568 is 865946604.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406649569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 889596 + ... + 890052.

It is an arithmetic number, because the mean of its divisors is an integer number (6463296).

Almost surely, 2^406649568 is an apocalyptic number.

406649568 is a gapful number since it is divisible by the number (48) 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 406649568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620476416).

406649568 is an abundant number, since it is smaller than the sum of its proper divisors (834303264).

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

406649568 is a wasteful number, since it uses less digits than its factorization.

406649568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 406649568 is about 20165.5539968531. The cubic root of 406649568 is about 740.8667516163.

The spelling of 406649568 in words is "four hundred six million, six hundred forty-nine thousand, five hundred sixty-eight".