1453222400 has 240 divisors, whose sum is σ = 4211486400. Its totient is φ = 496742400.

The previous prime is 1453222387. The next prime is 1453222417. The reversal of 1453222400 is 42223541.

It is a happy number.

It is a super-2 number, since 2×1453222400² = 4223710687723520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4390235 + ... + 4390565.

It is an arithmetic number, because the mean of its divisors is an integer number (17547860).

Almost surely, 2^1453222400 is an apocalyptic number.

1453222400 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 1453222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105743200).

1453222400 is an abundant number, since it is smaller than the sum of its proper divisors (2758264000).

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

1453222400 is an frugal number, since it uses more digits than its factorization.

1453222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 1453222400 is about 38121.1542322632. The cubic root of 1453222400 is about 1132.6890301673.

Adding to 1453222400 its reverse (42223541), we get a palindrome (1495445941).

The spelling of 1453222400 in words is "one billion, four hundred fifty-three million, two hundred twenty-two thousand, four hundred".