413760288 has 96 divisors (see below), whose sum is σ = 1114041600. Its totient is φ = 134424576.

The previous prime is 413760251. The next prime is 413760289. The reversal of 413760288 is 882067314.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (413760289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 674670 + ... + 675282.

It is an arithmetic number, because the mean of its divisors is an integer number (11604600).

Almost surely, 2^413760288 is an apocalyptic number.

413760288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413760288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557020800).

413760288 is an abundant number, since it is smaller than the sum of its proper divisors (700281312).

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

413760288 is a wasteful number, since it uses less digits than its factorization.

413760288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 413760288 is about 20341.0984954107. The cubic root of 413760288 is about 745.1601163291.

The spelling of 413760288 in words is "four hundred thirteen million, seven hundred sixty thousand, two hundred eighty-eight".