417730452480 has 1056 divisors, whose sum is σ = 1657072505088. Its totient is φ = 100063641600.

The previous prime is 417730452457. The next prime is 417730452509. The reversal of 417730452480 is 84254037714.

417730452480 is a `hidden beast` number, since 4 + 17 + 7 + 30 + 4 + 524 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1792834444 + ... + 1792834676.

It is an arithmetic number, because the mean of its divisors is an integer number (1569197448).

Almost surely, 2^417730452480 is an apocalyptic number.

417730452480 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 417730452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828536252544).

417730452480 is an abundant number, since it is smaller than the sum of its proper divisors (1239342052608).

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

417730452480 is a wasteful number, since it uses less digits than its factorization.

417730452480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 385 counting only the distinct ones).

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

The spelling of 417730452480 in words is "four hundred seventeen billion, seven hundred thirty million, four hundred fifty-two thousand, four hundred eighty".