382142592 has 384 divisors, whose sum is σ = 1336608000. Its totient is φ = 103514112.

The previous prime is 382142581. The next prime is 382142617. The reversal of 382142592 is 295241283.

It is a happy number.

382142592 is a `hidden beast` number, since 3 + 8 + 21 + 42 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 4837209 + ... + 4837287.

It is an arithmetic number, because the mean of its divisors is an integer number (3480750).

Almost surely, 2^382142592 is an apocalyptic number.

382142592 is a gapful number since it is divisible by the number (32) 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 382142592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668304000).

382142592 is an abundant number, since it is smaller than the sum of its proper divisors (954465408).

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

382142592 is a wasteful number, since it uses less digits than its factorization.

382142592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 133 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 382142592 is about 19548.4677660424. The cubic root of 382142592 is about 725.6744208695.

The spelling of 382142592 in words is "three hundred eighty-two million, one hundred forty-two thousand, five hundred ninety-two".