417364992 has 264 divisors, whose sum is σ = 1379514240. Its totient is φ = 120299520.

The previous prime is 417364973. The next prime is 417365021. The reversal of 417364992 is 299463714.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2331559 + ... + 2331737.

Almost surely, 2^417364992 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 417364992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689757120).

417364992 is an abundant number, since it is smaller than the sum of its proper divisors (962149248).

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

417364992 is a wasteful number, since it uses less digits than its factorization.

417364992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 218 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 417364992 is about 20429.5127695205. The cubic root of 417364992 is about 747.3178219961.

The spelling of 417364992 in words is "four hundred seventeen million, three hundred sixty-four thousand, nine hundred ninety-two".