420417408 has 128 divisors (see below), whose sum is σ = 1216656000. Its totient is φ = 128120832.

The previous prime is 420417377. The next prime is 420417451. The reversal of 420417408 is 804714024.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210591 + ... + 212577.

It is an arithmetic number, because the mean of its divisors is an integer number (9505125).

Almost surely, 2^420417408 is an apocalyptic number.

420417408 is a gapful number since it is divisible by the number (48) 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 420417408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608328000).

420417408 is an abundant number, since it is smaller than the sum of its proper divisors (796238592).

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

420417408 is a wasteful number, since it uses less digits than its factorization.

420417408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 420417408 is about 20504.0827154009. The cubic root of 420417408 is about 749.1352450929.

It can be divided in two parts, 4204 and 17408, that added together give a palindrome (21612).

The spelling of 420417408 in words is "four hundred twenty million, four hundred seventeen thousand, four hundred eight".