381429000 has 320 divisors, whose sum is σ = 1416832560. Its totient is φ = 95385600.

The previous prime is 381428989. The next prime is 381429007. The reversal of 381429000 is 924183.

It can be written as a sum of positive squares in 8 ways, for example, as 8398404 + 373030596 = 2898^2 + 19314^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381429007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1376862 + ... + 1377138.

Almost surely, 2^381429000 is an apocalyptic number.

381429000 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 381429000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708416280).

381429000 is an abundant number, since it is smaller than the sum of its proper divisors (1035403560).

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

381429000 is a wasteful number, since it uses less digits than its factorization.

381429000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 381429000 is about 19530.2073721709. The cubic root of 381429000 is about 725.2224446240. Note that the first 3 decimals are identical.

The spelling of 381429000 in words is "three hundred eighty-one million, four hundred twenty-nine thousand".