416536992 has 288 divisors, whose sum is σ = 1367114112. Its totient is φ = 124084224.

The previous prime is 416536949. The next prime is 416536993. The reversal of 416536992 is 299635614.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416536993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3040348 + ... + 3040484.

It is an arithmetic number, because the mean of its divisors is an integer number (4746924).

Almost surely, 2^416536992 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 416536992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683557056).

416536992 is an abundant number, since it is smaller than the sum of its proper divisors (950577120).

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

416536992 is a wasteful number, since it uses less digits than its factorization.

416536992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 182 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 416536992 is about 20409.2379083590. The cubic root of 416536992 is about 746.8232997645.

The spelling of 416536992 in words is "four hundred sixteen million, five hundred thirty-six thousand, nine hundred ninety-two".