1333420704 has 576 divisors, whose sum is σ = 5230697472. Its totient is φ = 323481600.

The previous prime is 1333420663. The next prime is 1333420723. The reversal of 1333420704 is 4070243331.

It is a super-3 number, since 3×1333420704³ (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10178719 + ... + 10178849.

It is an arithmetic number, because the mean of its divisors is an integer number (9081072).

Almost surely, 2^1333420704 is an apocalyptic number.

1333420704 is a gapful number since it is divisible by the number (14) 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 1333420704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615348736).

1333420704 is an abundant number, since it is smaller than the sum of its proper divisors (3897276768).

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

1333420704 is a wasteful number, since it uses less digits than its factorization.

1333420704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 1333420704 is about 36516.0335195377. The cubic root of 1333420704 is about 1100.6664567385. Note that the first 3 decimals are identical.

The spelling of 1333420704 in words is "one billion, three hundred thirty-three million, four hundred twenty thousand, seven hundred four".