406258240 has 56 divisors (see below), whose sum is σ = 969126840. Its totient is φ = 162213888.

The previous prime is 406258201. The next prime is 406258243. The reversal of 406258240 is 42852604.

It can be written as a sum of positive squares in 4 ways, for example, as 271326784 + 134931456 = 16472^2 + 11616^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406258243) 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, 329946 + ... + 331174.

Almost surely, 2^406258240 is an apocalyptic number.

406258240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406258240 is an abundant number, since it is smaller than the sum of its proper divisors (562868600).

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

406258240 is a wasteful number, since it uses less digits than its factorization.

406258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 406258240 is about 20155.8487789525. The cubic root of 406258240 is about 740.6290244460.

The spelling of 406258240 in words is "four hundred six million, two hundred fifty-eight thousand, two hundred forty".