190813440 has 288 divisors, whose sum is σ = 671086080. Its totient is φ = 46006272.

The previous prime is 190813439. The next prime is 190813481. The reversal of 190813440 is 44318091.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 190813398 and 190813407.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2415321 + ... + 2415399.

It is an arithmetic number, because the mean of its divisors is an integer number (2330160).

Almost surely, 2^190813440 is an apocalyptic number.

190813440 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 190813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335543040).

190813440 is an abundant number, since it is smaller than the sum of its proper divisors (480272640).

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

190813440 is a wasteful number, since it uses less digits than its factorization.

190813440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 190813440 is about 13813.5238082106. The cubic root of 190813440 is about 575.7089579049.

The spelling of 190813440 in words is "one hundred ninety million, eight hundred thirteen thousand, four hundred forty".