1452026400 has 144 divisors (see below), whose sum is σ = 5156107488. Its totient is φ = 352000000.

The previous prime is 1452026351. The next prime is 1452026431. The reversal of 1452026400 is 46202541.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1101 + ... + 53900.

It is an arithmetic number, because the mean of its divisors is an integer number (35806302).

Almost surely, 2^1452026400 is an apocalyptic number.

1452026400 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 1452026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578053744).

1452026400 is an abundant number, since it is smaller than the sum of its proper divisors (3704081088).

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

1452026400 is a wasteful number, since it uses less digits than its factorization.

1452026400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55035 (or 55022 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1452026400 is about 38105.4641751022. The cubic root of 1452026400 is about 1132.3782110553.

Adding to 1452026400 its reverse (46202541), we get a palindrome (1498228941).

The spelling of 1452026400 in words is "one billion, four hundred fifty-two million, twenty-six thousand, four hundred".