416563632 has 120 divisors (see below), whose sum is σ = 1211321280. Its totient is φ = 133539840.

The previous prime is 416563613. The next prime is 416563633. The reversal of 416563632 is 236365614.

416563632 is a `hidden beast` number, since 4 + 16 + 5 + 6 + 3 + 632 = 666.

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

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (416563633) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 412344 + ... + 413352.

It is an arithmetic number, because the mean of its divisors is an integer number (10094344).

Almost surely, 2^416563632 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 416563632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605660640).

416563632 is an abundant number, since it is smaller than the sum of its proper divisors (794757648).

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

416563632 is a wasteful number, since it uses less digits than its factorization.

416563632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1122 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 416563632 is about 20409.8905435576. The cubic root of 416563632 is about 746.8392206782.

The spelling of 416563632 in words is "four hundred sixteen million, five hundred sixty-three thousand, six hundred thirty-two".