194742240 has 288 divisors, whose sum is σ = 772208640. Its totient is φ = 40381440.

The previous prime is 194742209. The next prime is 194742253. The reversal of 194742240 is 42247491.

194742240 = T₂₀₉ + T₂₁₀ + ... + T₁₀₅₅.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406321 + ... + 406799.

It is an arithmetic number, because the mean of its divisors is an integer number (2681280).

Almost surely, 2^194742240 is an apocalyptic number.

194742240 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 194742240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386104320).

194742240 is an abundant number, since it is smaller than the sum of its proper divisors (577466400).

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

194742240 is a wasteful number, since it uses less digits than its factorization.

194742240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 194742240 is about 13955.0077033300. The cubic root of 194742240 is about 579.6333790867.

The spelling of 194742240 in words is "one hundred ninety-four million, seven hundred forty-two thousand, two hundred forty".