420681600 has 288 divisors, whose sum is σ = 1559561640. Its totient is φ = 111974400.

The previous prime is 420681533. The next prime is 420681619. The reversal of 420681600 is 6186024.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 35 ways as a sum of consecutive naturals, for example, 777330 + ... + 777870.

Almost surely, 2^420681600 is an apocalyptic number.

420681600 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 420681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779780820).

420681600 is an abundant number, since it is smaller than the sum of its proper divisors (1138880040).

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

420681600 is an equidigital number, since it uses as much as digits as its factorization.

420681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 420681600 is about 20510.5241278715. The cubic root of 420681600 is about 749.2921321076.

The spelling of 420681600 in words is "four hundred twenty million, six hundred eighty-one thousand, six hundred".