416546064 has 200 divisors, whose sum is σ = 1339557120. Its totient is φ = 123897600.

The previous prime is 416546057. The next prime is 416546069. The reversal of 416546064 is 460645614.

416546064 is a `hidden beast` number, since 41 + 6 + 5 + 4 + 606 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (416546069) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 869377 + ... + 869855.

Almost surely, 2^416546064 is an apocalyptic number.

416546064 is a gapful number since it is divisible by the number (44) 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 416546064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669778560).

416546064 is an abundant number, since it is smaller than the sum of its proper divisors (923011056).

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

416546064 is a wasteful number, since it uses less digits than its factorization.

416546064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 556 counting only the distinct ones).

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

The square root of 416546064 is about 20409.4601594457. The cubic root of 416546064 is about 746.8287215573.

The spelling of 416546064 in words is "four hundred sixteen million, five hundred forty-six thousand, sixty-four".