382230689400 has 2304 divisors, whose sum is σ = 1737338803200. Its totient is φ = 76082872320.

The previous prime is 382230689389. The next prime is 382230689411. The reversal of 382230689400 is 4986032283.

382230689400 is a `hidden beast` number, since 3 + 8 + 2 + 230 + 6 + 8 + 9 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (382230689389) and next prime (382230689411).

It is a super-2 number, since 2×382230689400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 7211899774 + ... + 7211899826.

It is an arithmetic number, because the mean of its divisors is an integer number (754053300).

Almost surely, 2^382230689400 is an apocalyptic number.

382230689400 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 382230689400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868669401600).

382230689400 is an abundant number, since it is smaller than the sum of its proper divisors (1355108113800).

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

382230689400 is a wasteful number, since it uses less digits than its factorization.

382230689400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 382230689400 in words is "three hundred eighty-two billion, two hundred thirty million, six hundred eighty-nine thousand, four hundred".