24023228400 has 480 divisors, whose sum is σ = 88344345600. Its totient is φ = 6196377600.

The previous prime is 24023228387. The next prime is 24023228491. The reversal of 24023228400 is 482232042.

24023228400 is a `hidden beast` number, since 2 + 4 + 0 + 232 + 28 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100515481 + ... + 100515719.

It is an arithmetic number, because the mean of its divisors is an integer number (184050720).

Almost surely, 2^24023228400 is an apocalyptic number.

24023228400 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 24023228400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44172172800).

24023228400 is an abundant number, since it is smaller than the sum of its proper divisors (64321117200).

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

24023228400 is a wasteful number, since it uses less digits than its factorization.

24023228400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 24023228400 in words is "twenty-four billion, twenty-three million, two hundred twenty-eight thousand, four hundred".