1417974768 has 160 divisors (see below), whose sum is σ = 4728427520. Its totient is φ = 398442240.

The previous prime is 1417974763. The next prime is 1417974799. The reversal of 1417974768 is 8674797141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1417974763) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 180621 + ... + 188307.

It is an arithmetic number, because the mean of its divisors is an integer number (29552672).

Almost surely, 2^1417974768 is an apocalyptic number.

1417974768 is a gapful number since it is divisible by the number (18) 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 1417974768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364213760).

1417974768 is an abundant number, since it is smaller than the sum of its proper divisors (3310452752).

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

1417974768 is a wasteful number, since it uses less digits than its factorization.

1417974768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7772 (or 7760 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The square root of 1417974768 is about 37656.0057361372. The cubic root of 1417974768 is about 1123.4562577332.

The spelling of 1417974768 in words is "one billion, four hundred seventeen million, nine hundred seventy-four thousand, seven hundred sixty-eight".