417260480 has 336 divisors, whose sum is σ = 1313444160. Its totient is φ = 124895232.

The previous prime is 417260479. The next prime is 417260483. The reversal of 417260480 is 84062714.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417260483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4688276 + ... + 4688364.

It is an arithmetic number, because the mean of its divisors is an integer number (3909060).

Almost surely, 2^417260480 is an apocalyptic number.

417260480 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 417260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656722080).

417260480 is an abundant number, since it is smaller than the sum of its proper divisors (896183680).

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

417260480 is a wasteful number, since it uses less digits than its factorization.

417260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 417260480 is about 20426.9547412237. The cubic root of 417260480 is about 747.2554383895.

The spelling of 417260480 in words is "four hundred seventeen million, two hundred sixty thousand, four hundred eighty".