406007460 has 144 divisors (see below), whose sum is σ = 1267418880. Its totient is φ = 105166080.

The previous prime is 406007449. The next prime is 406007473. The reversal of 406007460 is 64700604.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1130761 + ... + 1131119.

It is an arithmetic number, because the mean of its divisors is an integer number (8801520).

Almost surely, 2^406007460 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 406007460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633709440).

406007460 is an abundant number, since it is smaller than the sum of its proper divisors (861411420).

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

406007460 is a wasteful number, since it uses less digits than its factorization.

406007460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 406007460 is about 20149.6267955513. The cubic root of 406007460 is about 740.4765982638.

The spelling of 406007460 in words is "four hundred six million, seven thousand, four hundred sixty".