417473340 has 48 divisors (see below), whose sum is σ = 1179868032. Its totient is φ = 110284096.

The previous prime is 417473327. The next prime is 417473347. The reversal of 417473340 is 43374714.

It is a super-2 number, since 2×417473340² = 348567979221511200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417473347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26094 + ... + 38933.

It is an arithmetic number, because the mean of its divisors is an integer number (24580584).

Almost surely, 2^417473340 is an apocalyptic number.

It is an amenable number.

417473340 is an abundant number, since it is smaller than the sum of its proper divisors (762394692).

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

417473340 is a wasteful number, since it uses less digits than its factorization.

417473340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65146 (or 65144 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 417473340 is about 20432.1643493782. The cubic root of 417473340 is about 747.3824843319.

The spelling of 417473340 in words is "four hundred seventeen million, four hundred seventy-three thousand, three hundred forty".