414345984 has 144 divisors (see below), whose sum is σ = 1214234112. Its totient is φ = 124637184.

The previous prime is 414345973. The next prime is 414345991. The reversal of 414345984 is 489543414.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 468807 + ... + 469689.

Almost surely, 2^414345984 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 414345984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607117056).

414345984 is an abundant number, since it is smaller than the sum of its proper divisors (799888128).

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

414345984 is a wasteful number, since it uses less digits than its factorization.

414345984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 948 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 414345984 is about 20355.4902667560. The cubic root of 414345984 is about 745.5115529313.

The spelling of 414345984 in words is "four hundred fourteen million, three hundred forty-five thousand, nine hundred eighty-four".