194761440 has 144 divisors (see below), whose sum is σ = 668815056. Its totient is φ = 51609600.

The previous prime is 194761421. The next prime is 194761481. The reversal of 194761440 is 44167491.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 194761395 and 194761404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303520 + ... + 304160.

It is an arithmetic number, because the mean of its divisors is an integer number (4644549).

Almost surely, 2^194761440 is an apocalyptic number.

194761440 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 194761440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334407528).

194761440 is an abundant number, since it is smaller than the sum of its proper divisors (474053616).

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

194761440 is a wasteful number, since it uses less digits than its factorization.

194761440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 194761440 is about 13955.6956114699. The cubic root of 194761440 is about 579.6524275054.

The spelling of 194761440 in words is "one hundred ninety-four million, seven hundred sixty-one thousand, four hundred forty".