190409940 has 288 divisors, whose sum is σ = 711809280. Its totient is φ = 41803776.

The previous prime is 190409927. The next prime is 190409951. The reversal of 190409940 is 49904091.

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

It is a junction number, because it is equal to n+sod(n) for n = 190409895 and 190409904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 986484 + ... + 986676.

It is an arithmetic number, because the mean of its divisors is an integer number (2471560).

Almost surely, 2^190409940 is an apocalyptic number.

190409940 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 190409940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355904640).

190409940 is an abundant number, since it is smaller than the sum of its proper divisors (521399340).

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

190409940 is a wasteful number, since it uses less digits than its factorization.

190409940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 190409940 is about 13798.9108265834. The cubic root of 190409940 is about 575.3028675389.

The spelling of 190409940 in words is "one hundred ninety million, four hundred nine thousand, nine hundred forty".