420246540 has 432 divisors, whose sum is σ = 1613364480. Its totient is φ = 88058880.

The previous prime is 420246529. The next prime is 420246553. The reversal of 420246540 is 45642024.

420246540 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 4 + 654 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7929154 + ... + 7929206.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 2^420246540 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 420246540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806682240).

420246540 is an abundant number, since it is smaller than the sum of its proper divisors (1193117940).

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

420246540 is a wasteful number, since it uses less digits than its factorization.

420246540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 420246540 is about 20499.9156095824. The cubic root of 420246540 is about 749.0337423294.

Adding to 420246540 its reverse (45642024), we get a palindrome (465888564).

The spelling of 420246540 in words is "four hundred twenty million, two hundred forty-six thousand, five hundred forty".