1417641480 has 128 divisors (see below), whose sum is σ = 4748630400. Its totient is φ = 376185600.

The previous prime is 1417641469. The next prime is 1417641487. The reversal of 1417641480 is 841467141.

1417641480 is a `hidden beast` number, since 1 + 4 + 1 + 7 + 641 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1417641487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224770 + ... + 230990.

It is an arithmetic number, because the mean of its divisors is an integer number (37098675).

Almost surely, 2^1417641480 is an apocalyptic number.

1417641480 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 1417641480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374315200).

1417641480 is an abundant number, since it is smaller than the sum of its proper divisors (3330988920).

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

1417641480 is a wasteful number, since it uses less digits than its factorization.

1417641480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6452 (or 6442 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1417641480 is about 37651.5800465266. The cubic root of 1417641480 is about 1123.3682298788.

The spelling of 1417641480 in words is "one billion, four hundred seventeen million, six hundred forty-one thousand, four hundred eighty".