333012420 has 144 divisors (see below), whose sum is σ = 1106147952. Its totient is φ = 80593920.

The previous prime is 333012391. The next prime is 333012431. The reversal of 333012420 is 24210333.

It can be written as a sum of positive squares in 8 ways, for example, as 121484484 + 211527936 = 11022^2 + 14544^2 .

It is a super-2 number, since 2×333012420² = 221794543748512800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 333012393 and 333012402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141574 + ... + 143906.

It is an arithmetic number, because the mean of its divisors is an integer number (7681583).

Almost surely, 2^333012420 is an apocalyptic number.

333012420 is a gapful number since it is divisible by the number (30) 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 333012420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553073976).

333012420 is an abundant number, since it is smaller than the sum of its proper divisors (773135532).

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

333012420 is a wasteful number, since it uses less digits than its factorization.

333012420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 333012420 is about 18248.6278936253. The cubic root of 333012420 is about 693.1386940286.

Adding to 333012420 its reverse (24210333), we get a palindrome (357222753).

It can be divided in two parts, 33301 and 2420, that added together give a square (35721 = 189²).

The spelling of 333012420 in words is "three hundred thirty-three million, twelve thousand, four hundred twenty".