420513660 has 192 divisors, whose sum is σ = 1524096000. Its totient is φ = 94258944.

The previous prime is 420513647. The next prime is 420513673. The reversal of 420513660 is 66315024.

It is an interprime number because it is at equal distance from previous prime (420513647) and next prime (420513673).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199291 + ... + 201389.

It is an arithmetic number, because the mean of its divisors is an integer number (7938000).

Almost surely, 2^420513660 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 420513660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762048000).

420513660 is an abundant number, since it is smaller than the sum of its proper divisors (1103582340).

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

420513660 is a wasteful number, since it uses less digits than its factorization.

420513660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 420513660 is about 20506.4297233819. The cubic root of 420513660 is about 749.1924107115.

Adding to 420513660 its reverse (66315024), we get a palindrome (486828684).

The spelling of 420513660 in words is "four hundred twenty million, five hundred thirteen thousand, six hundred sixty".