416212992 has 240 divisors, whose sum is σ = 1345764420. Its totient is φ = 127401984.

The previous prime is 416212981. The next prime is 416212999. The reversal of 416212992 is 299212614.

416212992 is a `hidden beast` number, since 4 + 1 + 621 + 29 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 372335616 + 43877376 = 19296^2 + 6624^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (416212999) 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 19 ways as a sum of consecutive naturals, for example, 2156448 + ... + 2156640.

Almost surely, 2^416212992 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 416212992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672882210).

416212992 is an abundant number, since it is smaller than the sum of its proper divisors (929551428).

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

416212992 is a wasteful number, since it uses less digits than its factorization.

416212992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 211 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 416212992 is about 20401.2987821854. The cubic root of 416212992 is about 746.6296126737.

The spelling of 416212992 in words is "four hundred sixteen million, two hundred twelve thousand, nine hundred ninety-two".