420527940 has 96 divisors (see below), whose sum is σ = 1382110464. Its totient is φ = 93519360.

The previous prime is 420527923. The next prime is 420527951. The reversal of 420527940 is 49725024.

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 31 ways as a sum of consecutive naturals, for example, 2010 + ... + 29070.

It is an arithmetic number, because the mean of its divisors is an integer number (14396984).

Almost surely, 2^420527940 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 420527940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691055232).

420527940 is an abundant number, since it is smaller than the sum of its proper divisors (961582524).

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

420527940 is a wasteful number, since it uses less digits than its factorization.

420527940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27117 (or 27115 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 420527940 is about 20506.7779039029. Note that the first 3 decimals coincide. The cubic root of 420527940 is about 749.2008910912.

The spelling of 420527940 in words is "four hundred twenty million, five hundred twenty-seven thousand, nine hundred forty".