414980064 has 192 divisors, whose sum is σ = 1349913600. Its totient is φ = 123254784.

The previous prime is 414980029. The next prime is 414980077. The reversal of 414980064 is 460089414.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278329 + ... + 279815.

It is an arithmetic number, because the mean of its divisors is an integer number (7030800).

Almost surely, 2^414980064 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 414980064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674956800).

414980064 is an abundant number, since it is smaller than the sum of its proper divisors (934933536).

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

414980064 is a wasteful number, since it uses less digits than its factorization.

414980064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 414980064 is about 20371.0594717113. The cubic root of 414980064 is about 745.8916483545.

The spelling of 414980064 in words is "four hundred fourteen million, nine hundred eighty thousand, sixty-four".