190382400 has 420 divisors, whose sum is σ = 760297692. Its totient is φ = 46448640.

The previous prime is 190382389. The next prime is 190382407. The reversal of 190382400 is 4283091.

It can be written as a sum of positive squares in 6 ways, for example, as 72182016 + 118200384 = 8496^2 + 10872^2 .

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

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190382407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1684744 + ... + 1684856.

Almost surely, 2^190382400 is an apocalyptic number.

190382400 is a gapful number since it is divisible by the number (10) 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 190382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380148846).

190382400 is an abundant number, since it is smaller than the sum of its proper divisors (569915292).

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

190382400 is a wasteful number, since it uses less digits than its factorization.

190382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 136 counting only the distinct ones).

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

The square root of 190382400 is about 13797.9128856505. The cubic root of 190382400 is about 575.2751298327.

The spelling of 190382400 in words is "one hundred ninety million, three hundred eighty-two thousand, four hundred".