420142500 has 180 divisors, whose sum is σ = 1350917568. Its totient is φ = 110040000.

The previous prime is 420142487. The next prime is 420142507. The reversal of 420142500 is 5241024.

420142500 is a `hidden beast` number, since 4 + 20 + 142 + 500 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (420142507) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1597369 + ... + 1597631.

Almost surely, 2^420142500 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 420142500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675458784).

420142500 is an abundant number, since it is smaller than the sum of its proper divisors (930775068).

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

420142500 is a wasteful number, since it uses less digits than its factorization.

420142500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 420142500 is about 20497.3778810852. The cubic root of 420142500 is about 748.9719247256.

Adding to 420142500 its reverse (5241024), we get a palindrome (425383524).

The spelling of 420142500 in words is "four hundred twenty million, one hundred forty-two thousand, five hundred".