1545414400 has 216 divisors, whose sum is σ = 4105987200. Its totient is φ = 574156800.

The previous prime is 1545414397. The next prime is 1545414407. The reversal of 1545414400 is 44145451.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1545414407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8633511 + ... + 8633689.

It is an arithmetic number, because the mean of its divisors is an integer number (19009200).

Almost surely, 2^1545414400 is an apocalyptic number.

1545414400 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 1545414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052993600).

1545414400 is an abundant number, since it is smaller than the sum of its proper divisors (2560572800).

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

1545414400 is a wasteful number, since it uses less digits than its factorization.

1545414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 1545414400 is about 39311.7590550207. The cubic root of 1545414400 is about 1156.1521333285.

Adding to 1545414400 its reverse (44145451), we get a palindrome (1589559851).

The spelling of 1545414400 in words is "one billion, five hundred forty-five million, four hundred fourteen thousand, four hundred".