417507482304 has 336 divisors, whose sum is σ = 1382224596480. Its totient is φ = 119159838720.

The previous prime is 417507482291. The next prime is 417507482341. The reversal of 417507482304 is 403284705714.

It is a self number, because there is not a number n which added to its sum of digits gives 417507482304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20816409 + ... + 20836455.

It is an arithmetic number, because the mean of its divisors is an integer number (4113763680).

Almost surely, 2^417507482304 is an apocalyptic number.

417507482304 is a gapful number since it is divisible by the number (44) 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 417507482304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691112298240).

417507482304 is an abundant number, since it is smaller than the sum of its proper divisors (964717114176).

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

417507482304 is a wasteful number, since it uses less digits than its factorization.

417507482304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20268 (or 20255 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

It can be divided in two parts, 417507 and 482304, that added together give a triangular number (899811 = T₁₃₄₁).

The spelling of 417507482304 in words is "four hundred seventeen billion, five hundred seven million, four hundred eighty-two thousand, three hundred four".