420103320 has 512 divisors, whose sum is σ = 1718599680. Its totient is φ = 79626240.

The previous prime is 420103301. The next prime is 420103373. The reversal of 420103320 is 23301024.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 420103320.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1241 × 1209 × 280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5754804 + ... + 5754876.

It is an arithmetic number, because the mean of its divisors is an integer number (3356640).

Almost surely, 2^420103320 is an apocalyptic number.

420103320 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 420103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859299840).

420103320 is an abundant number, since it is smaller than the sum of its proper divisors (1298496360).

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

420103320 is a wasteful number, since it uses less digits than its factorization.

420103320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 420103320 is about 20496.4221268006. The cubic root of 420103320 is about 748.9486424406.

Adding to 420103320 its reverse (23301024), we get a palindrome (443404344).

It can be divided in two parts, 420 and 103320, that added together give a triangular number (103740 = T₄₅₅).

The spelling of 420103320 in words is "four hundred twenty million, one hundred three thousand, three hundred twenty".