20430623400 has 192 divisors, whose sum is σ = 69779016000. Its totient is φ = 4903680000.

The previous prime is 20430623393. The next prime is 20430623413. The reversal of 20430623400 is 432603402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 651276 + ... + 681924.

It is an arithmetic number, because the mean of its divisors is an integer number (363432375).

Almost surely, 2^20430623400 is an apocalyptic number.

20430623400 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 20430623400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34889508000).

20430623400 is an abundant number, since it is smaller than the sum of its proper divisors (49348392600).

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

20430623400 is a wasteful number, since it uses less digits than its factorization.

20430623400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30780 (or 30771 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The spelling of 20430623400 in words is "twenty billion, four hundred thirty million, six hundred twenty-three thousand, four hundred".