416954112 has 144 divisors (see below), whose sum is σ = 1165815840. Its totient is φ = 132120576.

The previous prime is 416954039. The next prime is 416954113. The reversal of 416954112 is 211459614.

It is a super-3 number, since 3×416954112³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416954113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2160288 + ... + 2160480.

Almost surely, 2^416954112 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 416954112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582907920).

416954112 is an abundant number, since it is smaller than the sum of its proper divisors (748861728).

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

416954112 is a wasteful number, since it uses less digits than its factorization.

416954112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 324 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 416954112 is about 20419.4542532361. The cubic root of 416954112 is about 747.0725061295.

The spelling of 416954112 in words is "four hundred sixteen million, nine hundred fifty-four thousand, one hundred twelve".