406042464 has 192 divisors, whose sum is σ = 1192181760. Its totient is φ = 120476160.

The previous prime is 406042463. The next prime is 406042513. The reversal of 406042464 is 464240604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406042463) 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, 2431309 + ... + 2431475.

It is an arithmetic number, because the mean of its divisors is an integer number (6209280).

Almost surely, 2^406042464 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 406042464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596090880).

406042464 is an abundant number, since it is smaller than the sum of its proper divisors (786139296).

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

406042464 is a wasteful number, since it uses less digits than its factorization.

406042464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 406042464 is about 20150.4953785261. The cubic root of 406042464 is about 740.4978777562.

The spelling of 406042464 in words is "four hundred six million, forty-two thousand, four hundred sixty-four".