420819000 has 256 divisors, whose sum is σ = 1554508800. Its totient is φ = 92736000.

The previous prime is 420818999. The next prime is 420819001. The reversal of 420819000 is 918024.

It is an interprime number because it is at equal distance from previous prime (420818999) and next prime (420819001).

It is a super-2 number, since 2×420819000² = 354177261522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420819001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 608655 + ... + 609345.

It is an arithmetic number, because the mean of its divisors is an integer number (6072300).

Almost surely, 2^420819000 is an apocalyptic number.

420819000 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 420819000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777254400).

420819000 is an abundant number, since it is smaller than the sum of its proper divisors (1133689800).

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

420819000 is a wasteful number, since it uses less digits than its factorization.

420819000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 420819000 is about 20513.8733543912. The cubic root of 420819000 is about 749.3736993645.

The spelling of 420819000 in words is "four hundred twenty million, eight hundred nineteen thousand".