406365240 has 64 divisors (see below), whose sum is σ = 1221674400. Its totient is φ = 108134912.

The previous prime is 406365233. The next prime is 406365259. The reversal of 406365240 is 42563604.

406365240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 406365198 and 406365207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57754 + ... + 64406.

Almost surely, 2^406365240 is an apocalyptic number.

406365240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406365240 is an abundant number, since it is smaller than the sum of its proper divisors (815309160).

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

406365240 is a wasteful number, since it uses less digits than its factorization.

406365240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7176 (or 7172 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 406365240 is about 20158.5029206040. The cubic root of 406365240 is about 740.6940408497.

The spelling of 406365240 in words is "four hundred six million, three hundred sixty-five thousand, two hundred forty".