417393792 has 96 divisors (see below), whose sum is σ = 1271806380. Its totient is φ = 130940928.

The previous prime is 417393791. The next prime is 417393797. The reversal of 417393792 is 297393714.

It can be written as a sum of positive squares in 2 ways, for example, as 417139776 + 254016 = 20424^2 + 504^2 .

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

It is not an unprimeable number, because it can be changed into a prime (417393791) 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 11 ways as a sum of consecutive naturals, for example, 8928 + ... + 30240.

Almost surely, 2^417393792 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 417393792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635903190).

417393792 is an abundant number, since it is smaller than the sum of its proper divisors (854412588).

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

417393792 is a wasteful number, since it uses less digits than its factorization.

417393792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21350 (or 21335 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 417393792 is about 20430.2176199863. The cubic root of 417393792 is about 747.3350109942.

The spelling of 417393792 in words is "four hundred seventeen million, three hundred ninety-three thousand, seven hundred ninety-two".