1545600400 has 60 divisors (see below), whose sum is σ = 3723040852. Its totient is φ = 616619520.

The previous prime is 1545600377. The next prime is 1545600409. The reversal of 1545600400 is 40065451.

It can be written as a sum of positive squares in 6 ways, for example, as 36433296 + 1509167104 = 6036^2 + 38848^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1545600409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153934 + ... + 163666.

Almost surely, 2^1545600400 is an apocalyptic number.

1545600400 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 1545600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861520426).

1545600400 is an abundant number, since it is smaller than the sum of its proper divisors (2177440452).

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

1545600400 is a wasteful number, since it uses less digits than its factorization.

1545600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10148 (or 10137 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 1545600400 is about 39314.1246882084. The cubic root of 1545600400 is about 1156.1985147759.

Adding to 1545600400 its reverse (40065451), we get a palindrome (1585665851).

The spelling of 1545600400 in words is "one billion, five hundred forty-five million, six hundred thousand, four hundred".