420673600 has 84 divisors (see below), whose sum is σ = 1039179024. Its totient is φ = 167610880.

The previous prime is 420673573. The next prime is 420673621. The reversal of 420673600 is 6376024.

It is a super-3 number, since 3×420673600³ (a number of 27 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 746919 + ... + 747481.

Almost surely, 2^420673600 is an apocalyptic number.

420673600 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 420673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519589512).

420673600 is an abundant number, since it is smaller than the sum of its proper divisors (618505424).

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

420673600 is a wasteful number, since it uses less digits than its factorization.

420673600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 420673600 is about 20510.3291051119. The cubic root of 420673600 is about 749.2873823752.

The spelling of 420673600 in words is "four hundred twenty million, six hundred seventy-three thousand, six hundred".