406556040 has 128 divisors (see below), whose sum is σ = 1335398400. Its totient is φ = 98200320.

The previous prime is 406556039. The next prime is 406556047. The reversal of 406556040 is 40655604.

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 = 406555989 and 406556007.

It is not an unprimeable number, because it can be changed into a prime (406556047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631959 + ... + 632601.

It is an arithmetic number, because the mean of its divisors is an integer number (10432800).

Almost surely, 2^406556040 is an apocalyptic number.

406556040 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 406556040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667699200).

406556040 is an abundant number, since it is smaller than the sum of its proper divisors (928842360).

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

406556040 is a wasteful number, since it uses less digits than its factorization.

406556040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 406556040 is about 20163.2348595160. The cubic root of 406556040 is about 740.8099483275.

The spelling of 406556040 in words is "four hundred six million, five hundred fifty-six thousand, forty".