414645816 has 128 divisors (see below), whose sum is σ = 1187424000. Its totient is φ = 119605248.

The previous prime is 414645787. The next prime is 414645821. The reversal of 414645816 is 618546414.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669555 + ... + 670173.

It is an arithmetic number, because the mean of its divisors is an integer number (9276750).

Almost surely, 2^414645816 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 414645816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593712000).

414645816 is an abundant number, since it is smaller than the sum of its proper divisors (772778184).

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

414645816 is a wasteful number, since it uses less digits than its factorization.

414645816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 769 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 414645816 is about 20362.8538274968. The cubic root of 414645816 is about 745.6913337048.

The spelling of 414645816 in words is "four hundred fourteen million, six hundred forty-five thousand, eight hundred sixteen".