417572064 has 384 divisors, whose sum is σ = 1544417280. Its totient is φ = 106831872.

The previous prime is 417572059. The next prime is 417572081. The reversal of 417572064 is 460275714.

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 63 ways as a sum of consecutive naturals, for example, 3695272 + ... + 3695384.

It is an arithmetic number, because the mean of its divisors is an integer number (4021920).

Almost surely, 2^417572064 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 417572064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772208640).

417572064 is an abundant number, since it is smaller than the sum of its proper divisors (1126845216).

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

417572064 is a wasteful number, since it uses less digits than its factorization.

417572064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 417572064 is about 20434.5801033444. The cubic root of 417572064 is about 747.4413933015.

The spelling of 417572064 in words is "four hundred seventeen million, five hundred seventy-two thousand, sixty-four".