1413993672 has 192 divisors, whose sum is σ = 4888490880. Its totient is φ = 372874752.

The previous prime is 1413993667. The next prime is 1413993673. The reversal of 1413993672 is 2763993141.

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

It is not an unprimeable number, because it can be changed into a prime (1413993673) 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, 172908 + ... + 180900.

It is an arithmetic number, because the mean of its divisors is an integer number (25460890).

Almost surely, 2^1413993672 is an apocalyptic number.

1413993672 is a gapful number since it is divisible by the number (12) 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 1413993672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444245440).

1413993672 is an abundant number, since it is smaller than the sum of its proper divisors (3474497208).

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

1413993672 is a wasteful number, since it uses less digits than its factorization.

1413993672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8034 (or 8018 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 1413993672 is about 37603.1072120377. The cubic root of 1413993672 is about 1122.4038695923.

The spelling of 1413993672 in words is "one billion, four hundred thirteen million, nine hundred ninety-three thousand, six hundred seventy-two".