1413462240 has 144 divisors (see below), whose sum is σ = 5033272608. Its totient is φ = 360526848.

The previous prime is 1413462209. The next prime is 1413462287. The reversal of 1413462240 is 422643141.

It is a happy number.

1413462240 is a `hidden beast` number, since 1 + 4 + 1 + 34 + 622 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11782 + ... + 54458.

It is an arithmetic number, because the mean of its divisors is an integer number (34953282).

Almost surely, 2^1413462240 is an apocalyptic number.

1413462240 is a gapful number since it is divisible by the number (10) 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 1413462240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516636304).

1413462240 is an abundant number, since it is smaller than the sum of its proper divisors (3619810368).

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

1413462240 is a wasteful number, since it uses less digits than its factorization.

1413462240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42721 (or 42710 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1413462240 is about 37596.0402170229. The cubic root of 1413462240 is about 1122.2632381107.

The spelling of 1413462240 in words is "one billion, four hundred thirteen million, four hundred sixty-two thousand, two hundred forty".