1333978464 has 192 divisors, whose sum is σ = 4427329536. Its totient is φ = 342226944.

The previous prime is 1333978433. The next prime is 1333978493. The reversal of 1333978464 is 4648793331.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 321169 + ... + 325295.

It is an arithmetic number, because the mean of its divisors is an integer number (23059008).

Almost surely, 2^1333978464 is an apocalyptic number.

1333978464 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 1333978464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213664768).

1333978464 is an abundant number, since it is smaller than the sum of its proper divisors (3093351072).

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

1333978464 is a wasteful number, since it uses less digits than its factorization.

1333978464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4197 (or 4189 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The square root of 1333978464 is about 36523.6699141803. The cubic root of 1333978464 is about 1100.8199022198.

The spelling of 1333978464 in words is "one billion, three hundred thirty-three million, nine hundred seventy-eight thousand, four hundred sixty-four".