406018720 has 48 divisors (see below), whose sum is σ = 969145128. Its totient is φ = 160727040.

The previous prime is 406018693. The next prime is 406018721. The reversal of 406018720 is 27810604.

It can be written as a sum of positive squares in 4 ways, for example, as 268566544 + 137452176 = 16388^2 + 11724^2 .

It is not an unprimeable number, because it can be changed into a prime (406018721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2440 + ... + 28600.

Almost surely, 2^406018720 is an apocalyptic number.

406018720 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 406018720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484572564).

406018720 is an abundant number, since it is smaller than the sum of its proper divisors (563126408).

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

406018720 is a wasteful number, since it uses less digits than its factorization.

406018720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26273 (or 26265 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 406018720 is about 20149.9062032556. The cubic root of 406018720 is about 740.4834435317.

The spelling of 406018720 in words is "four hundred six million, eighteen thousand, seven hundred twenty".