381259200 has 252 divisors, whose sum is σ = 1455965592. Its totient is φ = 87091200.

The previous prime is 381259189. The next prime is 381259213. The reversal of 381259200 is 2952183.

It is a happy number.

It is a super-3 number, since 3×381259200³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 234390 + ... + 236010.

Almost surely, 2^381259200 is an apocalyptic number.

381259200 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 381259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727982796).

381259200 is an abundant number, since it is smaller than the sum of its proper divisors (1074706392).

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

381259200 is a wasteful number, since it uses less digits than its factorization.

381259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 381259200 is about 19525.8597762045. The cubic root of 381259200 is about 725.1148133666.

The spelling of 381259200 in words is "three hundred eighty-one million, two hundred fifty-nine thousand, two hundred".