417172372848 has 1120 divisors, whose sum is σ = 1623001121280. Its totient is φ = 100508221440.

The previous prime is 417172372823. The next prime is 417172372849. The reversal of 417172372848 is 848273271714.

It is a happy number.

417172372848 is a `hidden beast` number, since 417 + 172 + 37 + 28 + 4 + 8 = 666.

It is a super-2 number, since 2×417172372848² (a number of 24 digits) contains 22 as substring.

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 junction number, because it is equal to n+sod(n) for n = 417172372794 and 417172372803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417172372849) 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 223 ways as a sum of consecutive naturals, for example, 1358867511 + ... + 1358867817.

It is an arithmetic number, because the mean of its divisors is an integer number (1449108144).

Almost surely, 2^417172372848 is an apocalyptic number.

417172372848 is a gapful number since it is divisible by the number (48) 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 417172372848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811500560640).

417172372848 is an abundant number, since it is smaller than the sum of its proper divisors (1205828748432).

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

417172372848 is a wasteful number, since it uses less digits than its factorization.

417172372848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 436 counting only the distinct ones).

The product of its digits is 4214784, while the sum is 54.

The spelling of 417172372848 in words is "four hundred seventeen billion, one hundred seventy-two million, three hundred seventy-two thousand, eight hundred forty-eight".