413766240 has 48 divisors (see below), whose sum is σ = 1303365168. Its totient is φ = 110337536.

The previous prime is 413766193. The next prime is 413766277. The reversal of 413766240 is 42667314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 430527 + ... + 431486.

It is an arithmetic number, because the mean of its divisors is an integer number (27153441).

Almost surely, 2^413766240 is an apocalyptic number.

413766240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413766240 is an abundant number, since it is smaller than the sum of its proper divisors (889598928).

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

413766240 is a wasteful number, since it uses less digits than its factorization.

413766240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862031 (or 862023 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 413766240 is about 20341.2447996675. The cubic root of 413766240 is about 745.1636893897.

The spelling of 413766240 in words is "four hundred thirteen million, seven hundred sixty-six thousand, two hundred forty".