1333420830 has 144 divisors (see below), whose sum is σ = 4054858704. Its totient is φ = 303125760.

The previous prime is 1333420807. The next prime is 1333420831. The reversal of 1333420830 is 380243331.

It is a super-2 number, since 2×1333420830² = 3556022219755777800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1333420794 and 1333420803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1333420831) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 929794 + ... + 931226.

It is an arithmetic number, because the mean of its divisors is an integer number (28158741).

Almost surely, 2^1333420830 is an apocalyptic number.

1333420830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1333420830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027429352).

1333420830 is an abundant number, since it is smaller than the sum of its proper divisors (2721437874).

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

1333420830 is a wasteful number, since it uses less digits than its factorization.

1333420830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 1333420830 is about 36516.0352448072. The cubic root of 1333420830 is about 1100.6664914072. Note that the first 3 decimals are identical.

The spelling of 1333420830 in words is "one billion, three hundred thirty-three million, four hundred twenty thousand, eight hundred thirty".