417601620 has 144 divisors (see below), whose sum is σ = 1328291328. Its totient is φ = 106064640.

The previous prime is 417601607. The next prime is 417601637. The reversal of 417601620 is 26106714.

It is a super-2 number, since 2×417601620² = 348782226053248800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373302 + ... + 374418.

Almost surely, 2^417601620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417601620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664145664).

417601620 is an abundant number, since it is smaller than the sum of its proper divisors (910689708).

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

417601620 is a wasteful number, since it uses less digits than its factorization.

417601620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 417601620 is about 20435.3032764381. The cubic root of 417601620 is about 747.4590276682.

The spelling of 417601620 in words is "four hundred seventeen million, six hundred one thousand, six hundred twenty".