1332154400 has 72 divisors (see below), whose sum is σ = 3282172740. Its totient is φ = 527938560.

The previous prime is 1332154349. The next prime is 1332154409. The reversal of 1332154400 is 44512331.

It can be written as a sum of positive squares in 6 ways, for example, as 301230736 + 1030923664 = 17356^2 + 32108^2 .

It is not an unprimeable number, because it can be changed into a prime (1332154409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79562 + ... + 94838.

Almost surely, 2^1332154400 is an apocalyptic number.

1332154400 is a gapful number since it is divisible by the number (10) 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 1332154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641086370).

1332154400 is an abundant number, since it is smaller than the sum of its proper divisors (1950018340).

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

1332154400 is a wasteful number, since it uses less digits than its factorization.

1332154400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15406 (or 15393 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 1332154400 is about 36498.6903874646. The cubic root of 1332154400 is about 1100.3179246327.

Adding to 1332154400 its reverse (44512331), we get a palindrome (1376666731).

The spelling of 1332154400 in words is "one billion, three hundred thirty-two million, one hundred fifty-four thousand, four hundred".