420368832 has 112 divisors (see below), whose sum is σ = 1330939680. Its totient is φ = 129337344.

The previous prime is 420368827. The next prime is 420368881. The reversal of 420368832 is 238863024.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13108 + ... + 31820.

It is an arithmetic number, because the mean of its divisors is an integer number (11883390).

Almost surely, 2^420368832 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 420368832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665469840).

420368832 is an abundant number, since it is smaller than the sum of its proper divisors (910570848).

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

420368832 is a wasteful number, since it uses less digits than its factorization.

420368832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18747 (or 18731 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 420368832 is about 20502.8981366050. The cubic root of 420368832 is about 749.1063917085.

The spelling of 420368832 in words is "four hundred twenty million, three hundred sixty-eight thousand, eight hundred thirty-two".