406746340 has 144 divisors (see below), whose sum is σ = 1156167936. Its totient is φ = 116962560.

The previous prime is 406746313. The next prime is 406746349. The reversal of 406746340 is 43647604.

It is a junction number, because it is equal to n+sod(n) for n = 406746296 and 406746305.

It is not an unprimeable number, because it can be changed into a prime (406746349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219297 + ... + 221143.

It is an arithmetic number, because the mean of its divisors is an integer number (8028944).

Almost surely, 2^406746340 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 406746340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578083968).

406746340 is an abundant number, since it is smaller than the sum of its proper divisors (749421596).

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

406746340 is a wasteful number, since it uses less digits than its factorization.

406746340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 406746340 is about 20167.9532922902. The cubic root of 406746340 is about 740.9255159485.

The spelling of 406746340 in words is "four hundred six million, seven hundred forty-six thousand, three hundred forty".