417928667520 has 1536 divisors, whose sum is σ = 1757841039360. Its totient is φ = 83607552000.

The previous prime is 417928667473. The next prime is 417928667543. The reversal of 417928667520 is 25766829714.

It is a happy number.

It is a super-2 number, since 2×417928667520² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 2767739445 + ... + 2767739595.

It is an arithmetic number, because the mean of its divisors is an integer number (1144427760).

Almost surely, 2^417928667520 is an apocalyptic number.

417928667520 is a gapful number since it is divisible by the number (40) 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 417928667520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878920519680).

417928667520 is an abundant number, since it is smaller than the sum of its proper divisors (1339912371840).

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

417928667520 is a wasteful number, since it uses less digits than its factorization.

417928667520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 417928667520 in words is "four hundred seventeen billion, nine hundred twenty-eight million, six hundred sixty-seven thousand, five hundred twenty".