382190400 has 252 divisors, whose sum is σ = 1410138912. Its totient is φ = 101813760.

The previous prime is 382190383. The next prime is 382190401. The reversal of 382190400 is 4091283.

It is a super-3 number, since 3×382190400³ (a number of 27 digits) contains 333 as substring.

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 (382190401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 388309 + ... + 389291.

Almost surely, 2^382190400 is an apocalyptic number.

382190400 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 382190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705069456).

382190400 is an abundant number, since it is smaller than the sum of its proper divisors (1027948512).

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

382190400 is an equidigital number, since it uses as much as digits as its factorization.

382190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 993 counting only the distinct ones).

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

The square root of 382190400 is about 19549.6905346351. The cubic root of 382190400 is about 725.7046814727.

Adding to 382190400 its product of nonzero digits (1728), we get a triangular number (382192128 = T₂₇₆₄₇).

The spelling of 382190400 in words is "three hundred eighty-two million, one hundred ninety thousand, four hundred".