406906240 has 64 divisors (see below), whose sum is σ = 1047609360. Its totient is φ = 150239232.

The previous prime is 406906219. The next prime is 406906243. The reversal of 406906240 is 42609604.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406906243) 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, 16134 + ... + 32773.

Almost surely, 2^406906240 is an apocalyptic number.

406906240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406906240 is an abundant number, since it is smaller than the sum of its proper divisors (640703120).

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

406906240 is a wasteful number, since it uses less digits than its factorization.

406906240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48939 (or 48927 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 406906240 is about 20171.9171126594. The cubic root of 406906240 is about 741.0225940345.

The spelling of 406906240 in words is "four hundred six million, nine hundred six thousand, two hundred forty".