413288064 has 192 divisors, whose sum is σ = 1386253440. Its totient is φ = 115734528.

The previous prime is 413288059. The next prime is 413288069. The reversal of 413288064 is 460882314.

It is an interprime number because it is at equal distance from previous prime (413288059) and next prime (413288069).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (413288069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426909 + ... + 427875.

It is an arithmetic number, because the mean of its divisors is an integer number (7220070).

Almost surely, 2^413288064 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 413288064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693126720).

413288064 is an abundant number, since it is smaller than the sum of its proper divisors (972965376).

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

413288064 is a wasteful number, since it uses less digits than its factorization.

413288064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 413288064 is about 20329.4875488784. The cubic root of 413288064 is about 744.8765250376.

The spelling of 413288064 in words is "four hundred thirteen million, two hundred eighty-eight thousand, sixty-four".