1453332400 has 90 divisors (see below), whose sum is σ = 3781054500. Its totient is φ = 536590080.

The previous prime is 1453332389. The next prime is 1453332409. The reversal of 1453332400 is 42333541.

It is a super-2 number, since 2×1453332400² = 4224350129779520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1453332409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56851 + ... + 78349.

Almost surely, 2^1453332400 is an apocalyptic number.

1453332400 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 1453332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890527250).

1453332400 is an abundant number, since it is smaller than the sum of its proper divisors (2327722100).

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

1453332400 is a wasteful number, since it uses less digits than its factorization.

1453332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21543 (or 21519 counting only the distinct ones).

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

The square root of 1453332400 is about 38122.5969734487. The cubic root of 1453332400 is about 1132.7176086445.

Adding to 1453332400 its reverse (42333541), we get a palindrome (1495665941).

The spelling of 1453332400 in words is "one billion, four hundred fifty-three million, three hundred thirty-two thousand, four hundred".