420403324300 has 72 divisors (see below), whose sum is σ = 918327442032. Its totient is φ = 167047776000.

The previous prime is 420403324279. The next prime is 420403324331. The reversal of 420403324300 is 3423304024.

It is a super-4 number, since 4×420403324300⁴ (a number of 48 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 17019759 + ... + 17044441.

It is an arithmetic number, because the mean of its divisors is an integer number (12754547806).

Almost surely, 2^420403324300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420403324300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459163721016).

420403324300 is an abundant number, since it is smaller than the sum of its proper divisors (497924117732).

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

420403324300 is a wasteful number, since it uses less digits than its factorization.

420403324300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25819 (or 25812 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 420403324300 its reverse (3423304024), we get a palindrome (423826628324).

The spelling of 420403324300 in words is "four hundred twenty billion, four hundred three million, three hundred twenty-four thousand, three hundred".