417072864 has 96 divisors (see below), whose sum is σ = 1186254720. Its totient is φ = 127544832.

The previous prime is 417072811. The next prime is 417072881. The reversal of 417072864 is 468270714.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222459 + ... + 224325.

It is an arithmetic number, because the mean of its divisors is an integer number (12356820).

Almost surely, 2^417072864 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 417072864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593127360).

417072864 is an abundant number, since it is smaller than the sum of its proper divisors (769181856).

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

417072864 is a wasteful number, since it uses less digits than its factorization.

417072864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 417072864 is about 20422.3618614498. The cubic root of 417072864 is about 747.1434235523.

The spelling of 417072864 in words is "four hundred seventeen million, seventy-two thousand, eight hundred sixty-four".