1451042400 has 288 divisors, whose sum is σ = 4997680128. Its totient is φ = 364953600.

The previous prime is 1451042393. The next prime is 1451042447. The reversal of 1451042400 is 42401541.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5354265 + ... + 5354535.

It is an arithmetic number, because the mean of its divisors is an integer number (17353056).

Almost surely, 2^1451042400 is an apocalyptic number.

1451042400 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 1451042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498840064).

1451042400 is an abundant number, since it is smaller than the sum of its proper divisors (3546637728).

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

1451042400 is a wasteful number, since it uses less digits than its factorization.

1451042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 1451042400 is about 38092.5504528116. The cubic root of 1451042400 is about 1132.1223589679.

Adding to 1451042400 its reverse (42401541), we get a palindrome (1493443941).

The spelling of 1451042400 in words is "one billion, four hundred fifty-one million, forty-two thousand, four hundred".