420098112 has 168 divisors, whose sum is σ = 1420969472. Its totient is φ = 116121600.

The previous prime is 420098083. The next prime is 420098117. The reversal of 420098112 is 211890024.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420098117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123312 + ... + 126672.

Almost surely, 2^420098112 is an apocalyptic number.

420098112 is a gapful number since it is divisible by the number (42) 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 420098112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710484736).

420098112 is an abundant number, since it is smaller than the sum of its proper divisors (1000871360).

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

420098112 is a wasteful number, since it uses less digits than its factorization.

420098112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417 (or 3404 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 420098112 is about 20496.2950798431. The cubic root of 420098112 is about 748.9455475348.

The spelling of 420098112 in words is "four hundred twenty million, ninety-eight thousand, one hundred twelve".