420417120 has 96 divisors (see below), whose sum is σ = 1328382720. Its totient is φ = 111767040.

The previous prime is 420417119. The next prime is 420417131. The reversal of 420417120 is 21714024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 180765 + ... + 183075.

It is an arithmetic number, because the mean of its divisors is an integer number (13837320).

Almost surely, 2^420417120 is an apocalyptic number.

420417120 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 420417120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664191360).

420417120 is an abundant number, since it is smaller than the sum of its proper divisors (907965600).

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

420417120 is a wasteful number, since it uses less digits than its factorization.

420417120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 420417120 is about 20504.0756924081. The cubic root of 420417120 is about 749.1350740320.

The spelling of 420417120 in words is "four hundred twenty million, four hundred seventeen thousand, one hundred twenty".