1413824160 has 96 divisors (see below), whose sum is σ = 5089779072. Its totient is φ = 323159040.

The previous prime is 1413824149. The next prime is 1413824213. The reversal of 1413824160 is 614283141.

1413824160 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 207031 + ... + 213750.

It is an arithmetic number, because the mean of its divisors is an integer number (53018532).

Almost surely, 2^1413824160 is an apocalyptic number.

1413824160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1413824160 is an abundant number, since it is smaller than the sum of its proper divisors (3675954912).

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

1413824160 is a wasteful number, since it uses less digits than its factorization.

1413824160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420806 (or 420798 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1413824160 is about 37600.8531818096. The cubic root of 1413824160 is about 1122.3590158961.

The spelling of 1413824160 in words is "one billion, four hundred thirteen million, eight hundred twenty-four thousand, one hundred sixty".