1532378400 has 288 divisors, whose sum is σ = 5811378048. Its totient is φ = 343449600.

The previous prime is 1532378387. The next prime is 1532378413. The reversal of 1532378400 is 48732351.

It is an interprime number because it is at equal distance from previous prime (1532378387) and next prime (1532378413).

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, 889540 + ... + 891260.

It is an arithmetic number, because the mean of its divisors is an integer number (20178396).

Almost surely, 2^1532378400 is an apocalyptic number.

1532378400 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 1532378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905689024).

1532378400 is an abundant number, since it is smaller than the sum of its proper divisors (4278999648).

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

1532378400 is a wasteful number, since it uses less digits than its factorization.

1532378400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 1532378400 is about 39145.6051173053. The cubic root of 1532378400 is about 1152.8921281941.

The spelling of 1532378400 in words is "one billion, five hundred thirty-two million, three hundred seventy-eight thousand, four hundred".