1333625904 has 160 divisors (see below), whose sum is σ = 4180218560. Its totient is φ = 404600832.

The previous prime is 1333625869. The next prime is 1333625927. The reversal of 1333625904 is 4095263331.

It is a happy number.

1333625904 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 62 + 590 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408342 + ... + 411594.

It is an arithmetic number, because the mean of its divisors is an integer number (26126366).

Almost surely, 2^1333625904 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 1333625904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090109280).

1333625904 is an abundant number, since it is smaller than the sum of its proper divisors (2846592656).

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

1333625904 is a wasteful number, since it uses less digits than its factorization.

1333625904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 1333625904 is about 36518.8431361126. The cubic root of 1333625904 is about 1100.7229143320.

The spelling of 1333625904 in words is "one billion, three hundred thirty-three million, six hundred twenty-five thousand, nine hundred four".