23452442400 has 288 divisors, whose sum is σ = 79605904896. Its totient is φ = 5990400000.

The previous prime is 23452442383. The next prime is 23452442443. The reversal of 23452442400 is 424425432.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 7512840 + ... + 7515960.

It is an arithmetic number, because the mean of its divisors is an integer number (276409392).

Almost surely, 2^23452442400 is an apocalyptic number.

23452442400 is a gapful number since it is divisible by the number (20) 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 23452442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39802952448).

23452442400 is an abundant number, since it is smaller than the sum of its proper divisors (56153462496).

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

23452442400 is a wasteful number, since it uses less digits than its factorization.

23452442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3276 (or 3263 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 23452442400 its reverse (424425432), we get a palindrome (23876867832).

The spelling of 23452442400 in words is "twenty-three billion, four hundred fifty-two million, four hundred forty-two thousand, four hundred".