415566240 has 96 divisors (see below), whose sum is σ = 1344470400. Its totient is φ = 107817984.

The previous prime is 415566209. The next prime is 415566289. The reversal of 415566240 is 42665514.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6061 + ... + 29459.

It is an arithmetic number, because the mean of its divisors is an integer number (14004900).

Almost surely, 2^415566240 is an apocalyptic number.

415566240 is a gapful number since it is divisible by the number (40) 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 415566240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672235200).

415566240 is an abundant number, since it is smaller than the sum of its proper divisors (928904160).

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

415566240 is a wasteful number, since it uses less digits than its factorization.

415566240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23454 (or 23446 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 415566240 is about 20385.4418642324. The cubic root of 415566240 is about 746.2426837550.

The spelling of 415566240 in words is "four hundred fifteen million, five hundred sixty-six thousand, two hundred forty".