1332354400 has 72 divisors (see below), whose sum is σ = 3502838304. Its totient is φ = 491942400.

The previous prime is 1332354371. The next prime is 1332354407. The reversal of 1332354400 is 44532331.

It is a hoax number, since the sum of its digits (25) 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 (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332354407) 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, 53656 + ... + 74455.

It is an arithmetic number, because the mean of its divisors is an integer number (48650532).

Almost surely, 2^1332354400 is an apocalyptic number.

1332354400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332354400 is an abundant number, since it is smaller than the sum of its proper divisors (2170483904).

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

1332354400 is a wasteful number, since it uses less digits than its factorization.

1332354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128144 (or 128131 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 1332354400 is about 36501.4301089697. The cubic root of 1332354400 is about 1100.3729864616.

Adding to 1332354400 its reverse (44532331), we get a palindrome (1376886731).

The spelling of 1332354400 in words is "one billion, three hundred thirty-two million, three hundred fifty-four thousand, four hundred".