1451146400 has 144 divisors (see below), whose sum is σ = 3904625088. Its totient is φ = 522240000.

The previous prime is 1451146397. The next prime is 1451146423. The reversal of 1451146400 is 46411541.

It is a self number, because there is not a number n which added to its sum of digits gives 1451146400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 905600 + ... + 907200.

It is an arithmetic number, because the mean of its divisors is an integer number (27115452).

Almost surely, 2^1451146400 is an apocalyptic number.

1451146400 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 1451146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952312544).

1451146400 is an abundant number, since it is smaller than the sum of its proper divisors (2453478688).

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

1451146400 is a wasteful number, since it uses less digits than its factorization.

1451146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 1451146400 is about 38093.9155246609. The cubic root of 1451146400 is about 1132.1494057109.

Adding to 1451146400 its reverse (46411541), we get a palindrome (1497557941).

The spelling of 1451146400 in words is "one billion, four hundred fifty-one million, one hundred forty-six thousand, four hundred".