420322800 has 120 divisors (see below), whose sum is σ = 1389990400. Its totient is φ = 108460800.

The previous prime is 420322789. The next prime is 420322811. The reversal of 420322800 is 8223024.

It is an interprime number because it is at equal distance from previous prime (420322789) and next prime (420322811).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31551 + ... + 42849.

Almost surely, 2^420322800 is an apocalyptic number.

420322800 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 420322800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694995200).

420322800 is an abundant number, since it is smaller than the sum of its proper divisors (969667600).

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

420322800 is a wasteful number, since it uses less digits than its factorization.

420322800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11351 (or 11340 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 420322800 is about 20501.7755328654. The cubic root of 420322800 is about 749.0790473690.

Adding to 420322800 its reverse (8223024), we get a palindrome (428545824).

The spelling of 420322800 in words is "four hundred twenty million, three hundred twenty-two thousand, eight hundred".