406654416 has 240 divisors, whose sum is σ = 1450800000. Its totient is φ = 103514112.

The previous prime is 406654393. The next prime is 406654447. The reversal of 406654416 is 614456604.

406654416 is a `hidden beast` number, since 40 + 66 + 544 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 324960 + ... + 326208.

It is an arithmetic number, because the mean of its divisors is an integer number (6045000).

Almost surely, 2^406654416 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 406654416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725400000).

406654416 is an abundant number, since it is smaller than the sum of its proper divisors (1044145584).

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

406654416 is a wasteful number, since it uses less digits than its factorization.

406654416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1297 counting only the distinct ones).

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

The square root of 406654416 is about 20165.6742014741. The cubic root of 406654416 is about 740.8696957628.

The spelling of 406654416 in words is "four hundred six million, six hundred fifty-four thousand, four hundred sixteen".