380449555200 has 2916 divisors, whose sum is σ = 1804393183320. Its totient is φ = 75910348800.

The previous prime is 380449555193. The next prime is 380449555229. The reversal of 380449555200 is 2555944083.

380449555200 is a `hidden beast` number, since 3 + 8 + 0 + 4 + 4 + 95 + 552 + 0 + 0 = 666.

It is a super-3 number, since 3×380449555200³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 20023660791 + ... + 20023660809.

Almost surely, 2^380449555200 is an apocalyptic number.

380449555200 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 380449555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902196591660).

380449555200 is an abundant number, since it is smaller than the sum of its proper divisors (1423943628120).

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

380449555200 is a wasteful number, since it uses less digits than its factorization.

380449555200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 380449555200 in words is "three hundred eighty billion, four hundred forty-nine million, five hundred fifty-five thousand, two hundred".