1023152400 has 180 divisors, whose sum is σ = 3626767872. Its totient is φ = 266991360.

The previous prime is 1023152381. The next prime is 1023152437. The reversal of 1023152400 is 42513201.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 166177 + ... + 172223.

Almost surely, 2^1023152400 is an apocalyptic number.

1023152400 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 1023152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813383936).

1023152400 is an abundant number, since it is smaller than the sum of its proper divisors (2603615472).

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

1023152400 is a wasteful number, since it uses less digits than its factorization.

1023152400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6118 (or 6104 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1023152400 is about 31986.7535082884. The cubic root of 1023152400 is about 1007.6586618258.

Adding to 1023152400 its reverse (42513201), we get a palindrome (1065665601).

The spelling of 1023152400 in words is "one billion, twenty-three million, one hundred fifty-two thousand, four hundred".