406563840 has 352 divisors, whose sum is σ = 1538688960. Its totient is φ = 101449728.

The previous prime is 406563827. The next prime is 406563869. The reversal of 406563840 is 48365604.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 406563795 and 406563804.

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 31 ways as a sum of consecutive naturals, for example, 2349994 + ... + 2350166.

Almost surely, 2^406563840 is an apocalyptic number.

406563840 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 406563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769344480).

406563840 is an abundant number, since it is smaller than the sum of its proper divisors (1132125120).

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

406563840 is a wasteful number, since it uses less digits than its factorization.

406563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 406563840 is about 20163.4282799330. The cubic root of 406563840 is about 740.8146859119.

The spelling of 406563840 in words is "four hundred six million, five hundred sixty-three thousand, eight hundred forty".