406245504 has 128 divisors (see below), whose sum is σ = 1287060480. Its totient is φ = 111006720.

The previous prime is 406245491. The next prime is 406245523. The reversal of 406245504 is 405542604.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58539 + ... + 65109.

It is an arithmetic number, because the mean of its divisors is an integer number (10055160).

Almost surely, 2^406245504 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 406245504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643530240).

406245504 is an abundant number, since it is smaller than the sum of its proper divisors (880814976).

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

406245504 is a wasteful number, since it uses less digits than its factorization.

406245504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6618 (or 6606 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 406245504 is about 20155.5328384044. The cubic root of 406245504 is about 740.6212849108.

The spelling of 406245504 in words is "four hundred six million, two hundred forty-five thousand, five hundred four".