406493640 has 160 divisors (see below), whose sum is σ = 1561538880. Its totient is φ = 92907648.

The previous prime is 406493629. The next prime is 406493641. The reversal of 406493640 is 46394604.

406493640 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 9 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 406493595 and 406493604.

It is not an unprimeable number, because it can be changed into a prime (406493641) 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 39 ways as a sum of consecutive naturals, for example, 13719 + ... + 31641.

It is an arithmetic number, because the mean of its divisors is an integer number (9759618).

Almost surely, 2^406493640 is an apocalyptic number.

406493640 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 406493640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780769440).

406493640 is an abundant number, since it is smaller than the sum of its proper divisors (1155045240).

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

406493640 is a wasteful number, since it uses less digits than its factorization.

406493640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17953 (or 17940 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 406493640 is about 20161.6874293795. The cubic root of 406493640 is about 740.7720454708.

The spelling of 406493640 in words is "four hundred six million, four hundred ninety-three thousand, six hundred forty".