406562040 has 96 divisors (see below), whose sum is σ = 1326358800. Its totient is φ = 108003840.

The previous prime is 406562029. The next prime is 406562047. The reversal of 406562040 is 40265604.

It is a happy number.

406562040 is a `hidden beast` number, since 4 + 0 + 656 + 2 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 406561995 and 406562013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406562047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99151 + ... + 103169.

Almost surely, 2^406562040 is an apocalyptic number.

406562040 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 406562040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663179400).

406562040 is an abundant number, since it is smaller than the sum of its proper divisors (919796760).

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

406562040 is a wasteful number, since it uses less digits than its factorization.

406562040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4317 (or 4310 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 406562040 is about 20163.3836446168. The cubic root of 406562040 is about 740.8135926286.

The spelling of 406562040 in words is "four hundred six million, five hundred sixty-two thousand, forty".