417473280 has 432 divisors, whose sum is σ = 1714212864. Its totient is φ = 91791360.

The previous prime is 417473261. The next prime is 417473281. The reversal of 417473280 is 82374714.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (417473281) 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, 2499757 + ... + 2499923.

Almost surely, 2^417473280 is an apocalyptic number.

417473280 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 417473280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857106432).

417473280 is an abundant number, since it is smaller than the sum of its proper divisors (1296739584).

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

417473280 is a wasteful number, since it uses less digits than its factorization.

417473280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 417473280 is about 20432.1628811049. The cubic root of 417473280 is about 747.3824485268.

The spelling of 417473280 in words is "four hundred seventeen million, four hundred seventy-three thousand, two hundred eighty".