381914400 has 288 divisors, whose sum is σ = 1439907840. Its totient is φ = 86123520.

The previous prime is 381914399. The next prime is 381914411. The reversal of 381914400 is 4419183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2133511 + ... + 2133689.

It is an arithmetic number, because the mean of its divisors is an integer number (4999680).

Almost surely, 2^381914400 is an apocalyptic number.

381914400 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 381914400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719953920).

381914400 is an abundant number, since it is smaller than the sum of its proper divisors (1057993440).

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

381914400 is a wasteful number, since it uses less digits than its factorization.

381914400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 381914400 is about 19542.6303244983. The cubic root of 381914400 is about 725.5299494318.

The spelling of 381914400 in words is "three hundred eighty-one million, nine hundred fourteen thousand, four hundred".