420732000 has 576 divisors, whose sum is σ = 1717148160. Its totient is φ = 96768000.

The previous prime is 420731981. The next prime is 420732041. The reversal of 420732000 is 237024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 13571985 + ... + 13572015.

It is an arithmetic number, because the mean of its divisors is an integer number (2981160).

Almost surely, 2^420732000 is an apocalyptic number.

420732000 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 420732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858574080).

420732000 is an abundant number, since it is smaller than the sum of its proper divisors (1296416160).

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

420732000 is a wasteful number, since it uses less digits than its factorization.

420732000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 420732000 is about 20511.7527286188. The cubic root of 420732000 is about 749.3220540370.

Adding to 420732000 its reverse (237024), we get a palindrome (420969024).

The spelling of 420732000 in words is "four hundred twenty million, seven hundred thirty-two thousand".