420532560 has 400 divisors, whose sum is σ = 1705414656. Its totient is φ = 94058496.

The previous prime is 420532559. The next prime is 420532583. The reversal of 420532560 is 65235024.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3311217 + ... + 3311343.

Almost surely, 2^420532560 is an apocalyptic number.

420532560 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 420532560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852707328).

420532560 is an abundant number, since it is smaller than the sum of its proper divisors (1284882096).

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

420532560 is a wasteful number, since it uses less digits than its factorization.

420532560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 420532560 is about 20506.8905492764. The cubic root of 420532560 is about 749.2036347024.

Adding to 420532560 its reverse (65235024), we get a palindrome (485767584).

The spelling of 420532560 in words is "four hundred twenty million, five hundred thirty-two thousand, five hundred sixty".