416404836 has 81 divisors (see below), whose sum is σ = 1117134291. Its totient is φ = 130761648.

The previous prime is 416404789. The next prime is 416404837. The reversal of 416404836 is 638404614.

The square root of 416404836 is 20406.

It is a perfect power (a square), and thus also a powerful number.

416404836 is a `hidden beast` number, since 4 + 1 + 640 + 4 + 8 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 416404836.

It is not an unprimeable number, because it can be changed into a prime (416404837) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2326195 + ... + 2326373.

Almost surely, 2^416404836 is an apocalyptic number.

416404836 is the 20406-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416404836

416404836 is an abundant number, since it is smaller than the sum of its proper divisors (700729455).

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

416404836 is a wasteful number, since it uses less digits than its factorization.

416404836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The cubic root of 416404836 is about 746.7443090852.

Multiplying 416404836 by its sum of digits (36), we get a square (14990574096 = 122436²).

416404836 divided by its sum of digits (36) gives a square (11566801 = 3401²).

The spelling of 416404836 in words is "four hundred sixteen million, four hundred four thousand, eight hundred thirty-six".