414794016 has 576 divisors, whose sum is σ = 1651104000. Its totient is φ = 97542144.

The previous prime is 414794011. The next prime is 414794027. The reversal of 414794016 is 610497414.

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 (414794011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21831255 + ... + 21831273.

It is an arithmetic number, because the mean of its divisors is an integer number (2866500).

Almost surely, 2^414794016 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 414794016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825552000).

414794016 is an abundant number, since it is smaller than the sum of its proper divisors (1236309984).

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

414794016 is a wasteful number, since it uses less digits than its factorization.

414794016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 414794016 is about 20366.4924815246. The cubic root of 414794016 is about 745.7801631651.

It can be divided in two parts, 414 and 794016, that added together give a triangular number (794430 = T₁₂₆₀).

The spelling of 414794016 in words is "four hundred fourteen million, seven hundred ninety-four thousand, sixteen".