380923430400 has 1200 divisors, whose sum is σ = 1513113489360. Its totient is φ = 94357094400.

The previous prime is 380923430389. The next prime is 380923430423. The reversal of 380923430400 is 4034329083.

It is a happy number.

380923430400 is a `hidden beast` number, since 380 + 9 + 234 + 3 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1201651042 + ... + 1201651358.

Almost surely, 2^380923430400 is an apocalyptic number.

380923430400 is a gapful number since it is divisible by the number (30) 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 380923430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756556744680).

380923430400 is an abundant number, since it is smaller than the sum of its proper divisors (1132190058960).

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

380923430400 is a wasteful number, since it uses less digits than its factorization.

380923430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 380923430400 its reverse (4034329083), we get a palindrome (384957759483).

The spelling of 380923430400 in words is "three hundred eighty billion, nine hundred twenty-three million, four hundred thirty thousand, four hundred".