380965200 has 720 divisors, whose sum is σ = 1682749440. Its totient is φ = 72576000.

The previous prime is 380965187. The next prime is 380965213. The reversal of 380965200 is 2569083.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (380965187) and next prime (380965213).

It is a super-2 number, since 2×380965200² = 290268967222080000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12289185 + ... + 12289215.

It is an arithmetic number, because the mean of its divisors is an integer number (2337152).

Almost surely, 2^380965200 is an apocalyptic number.

380965200 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 380965200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841374720).

380965200 is an abundant number, since it is smaller than the sum of its proper divisors (1301784240).

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

380965200 is a wasteful number, since it uses less digits than its factorization.

380965200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 380965200 is about 19518.3298465827. The cubic root of 380965200 is about 724.9283797662.

The spelling of 380965200 in words is "three hundred eighty million, nine hundred sixty-five thousand, two hundred".