380885400 has 576 divisors, whose sum is σ = 1617158400. Its totient is φ = 78382080.

The previous prime is 380885387. The next prime is 380885413. The reversal of 380885400 is 4588083.

380885400 is a `hidden beast` number, since 38 + 0 + 88 + 540 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (380885387) and next prime (380885413).

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

It is a zygodrome in base 3.

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, 8857779 + ... + 8857821.

Almost surely, 2^380885400 is an apocalyptic number.

380885400 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 380885400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808579200).

380885400 is an abundant number, since it is smaller than the sum of its proper divisors (1236273000).

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

380885400 is a wasteful number, since it uses less digits than its factorization.

380885400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 380885400 is about 19516.2855072373. The cubic root of 380885400 is about 724.8777598107.

The spelling of 380885400 in words is "three hundred eighty million, eight hundred eighty-five thousand, four hundred".