417670920 has 192 divisors, whose sum is σ = 1440504000. Its totient is φ = 104661504.

The previous prime is 417670879. The next prime is 417670921. The reversal of 417670920 is 29076714.

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 (417670921) 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, 1552546 + ... + 1552814.

It is an arithmetic number, because the mean of its divisors is an integer number (7502625).

Almost surely, 2^417670920 is an apocalyptic number.

417670920 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 417670920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720252000).

417670920 is an abundant number, since it is smaller than the sum of its proper divisors (1022833080).

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

417670920 is a wasteful number, since it uses less digits than its factorization.

417670920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 417670920 is about 20436.9988011939. The cubic root of 417670920 is about 747.5003717332.

The spelling of 417670920 in words is "four hundred seventeen million, six hundred seventy thousand, nine hundred twenty".