1413697824 has 288 divisors, whose sum is σ = 5118422400. Its totient is φ = 366912000.

The previous prime is 1413697823. The next prime is 1413697841. The reversal of 1413697824 is 4287963141.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1413697824.

It is not an unprimeable number, because it can be changed into a prime (1413697823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085974 + ... + 1087274.

It is an arithmetic number, because the mean of its divisors is an integer number (17772300).

Almost surely, 2^1413697824 is an apocalyptic number.

1413697824 is a gapful number since it is divisible by the number (14) 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 1413697824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559211200).

1413697824 is an abundant number, since it is smaller than the sum of its proper divisors (3704724576).

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

1413697824 is a wasteful number, since it uses less digits than its factorization.

1413697824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1324 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 1413697824 is about 37599.1731823986. The cubic root of 1413697824 is about 1122.3255844467.

The spelling of 1413697824 in words is "one billion, four hundred thirteen million, six hundred ninety-seven thousand, eight hundred twenty-four".