1454340400 has 60 divisors (see below), whose sum is σ = 3530168152. Its totient is φ = 575723520.

The previous prime is 1454340353. The next prime is 1454340403. The reversal of 1454340400 is 40434541.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1454340403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 20059 + ... + 57541.

Almost surely, 2^1454340400 is an apocalyptic number.

1454340400 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 1454340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765084076).

1454340400 is an abundant number, since it is smaller than the sum of its proper divisors (2075827752).

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

1454340400 is a wasteful number, since it uses less digits than its factorization.

1454340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37598 (or 37587 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 1454340400 is about 38135.8151873013. The cubic root of 1454340400 is about 1132.9794242897.

Adding to 1454340400 its reverse (40434541), we get a palindrome (1494774941).

The spelling of 1454340400 in words is "one billion, four hundred fifty-four million, three hundred forty thousand, four hundred".