420982560 has 288 divisors, whose sum is σ = 1576214640. Its totient is φ = 101842944.

The previous prime is 420982553. The next prime is 420982571. The reversal of 420982560 is 65289024.

It is a happy number.

420982560 is a `hidden beast` number, since 4 + 2 + 0 + 98 + 2 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 271458576 + 149523984 = 16476^2 + 12228^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 709624 + ... + 710216.

Almost surely, 2^420982560 is an apocalyptic number.

420982560 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 420982560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788107320).

420982560 is an abundant number, since it is smaller than the sum of its proper divisors (1155232080).

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

420982560 is a wasteful number, since it uses less digits than its factorization.

420982560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 420982560 is about 20517.8595374859. The cubic root of 420982560 is about 749.4707733133.

The spelling of 420982560 in words is "four hundred twenty million, nine hundred eighty-two thousand, five hundred sixty".