406552644 has 72 divisors (see below), whose sum is σ = 1048261760. Its totient is φ = 132829632.

The previous prime is 406552591. The next prime is 406552667. The reversal of 406552644 is 446255604.

406552644 is a `hidden beast` number, since 4 + 0 + 6 + 5 + 5 + 2 + 644 = 666.

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 = 406552599 and 406552608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463134 + ... + 464010.

Almost surely, 2^406552644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406552644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524130880).

406552644 is an abundant number, since it is smaller than the sum of its proper divisors (641709116).

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

406552644 is a wasteful number, since it uses less digits than its factorization.

406552644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 406552644 is about 20163.1506466623. The cubic root of 406552644 is about 740.8078856373.

The spelling of 406552644 in words is "four hundred six million, five hundred fifty-two thousand, six hundred forty-four".