420337632 has 192 divisors, whose sum is σ = 1318512384. Its totient is φ = 115568640.

The previous prime is 420337609. The next prime is 420337637. The reversal of 420337632 is 236733024.

It is a self number, because there is not a number n which added to its sum of digits gives 420337632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420337637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 919548 + ... + 920004.

It is an arithmetic number, because the mean of its divisors is an integer number (6867252).

Almost surely, 2^420337632 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 420337632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659256192).

420337632 is an abundant number, since it is smaller than the sum of its proper divisors (898174752).

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

420337632 is a wasteful number, since it uses less digits than its factorization.

420337632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 30.

The square root of 420337632 is about 20502.1372544425. The cubic root of 420337632 is about 749.0878582240.

The spelling of 420337632 in words is "four hundred twenty million, three hundred thirty-seven thousand, six hundred thirty-two".