1451438400 has 168 divisors, whose sum is σ = 4926604320. Its totient is φ = 373667840.

The previous prime is 1451438399. The next prime is 1451438407. The reversal of 1451438400 is 48341541.

It is a super-3 number, since 3×1451438400³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1451438407) by changing a digit.

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, 133987 + ... + 144413.

Almost surely, 2^1451438400 is an apocalyptic number.

1451438400 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 1451438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463302160).

1451438400 is an abundant number, since it is smaller than the sum of its proper divisors (3475165920).

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

1451438400 is a wasteful number, since it uses less digits than its factorization.

1451438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10481 (or 10466 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 1451438400 is about 38097.7479649388. The cubic root of 1451438400 is about 1132.2253377361.

Adding to 1451438400 its reverse (48341541), we get a palindrome (1499779941).

The spelling of 1451438400 in words is "one billion, four hundred fifty-one million, four hundred thirty-eight thousand, four hundred".