416533392 has 120 divisors (see below), whose sum is σ = 1293533280. Its totient is φ = 124055040.

The previous prime is 416533331. The next prime is 416533399. The reversal of 416533392 is 293335614.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416533399) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91228 + ... + 95684.

It is an arithmetic number, because the mean of its divisors is an integer number (10779444).

Almost surely, 2^416533392 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 416533392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646766640).

416533392 is an abundant number, since it is smaller than the sum of its proper divisors (876999888).

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

416533392 is a wasteful number, since it uses less digits than its factorization.

416533392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4541 (or 4532 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 416533392 is about 20409.1497128126. The cubic root of 416533392 is about 746.8211482376.

The spelling of 416533392 in words is "four hundred sixteen million, five hundred thirty-three thousand, three hundred ninety-two".