194390400 has 96 divisors (see below), whose sum is σ = 640305000. Its totient is φ = 51834880.

The previous prime is 194390381. The next prime is 194390419. The reversal of 194390400 is 4093491.

It is an interprime number because it is at equal distance from previous prime (194390381) and next prime (194390419).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×194390400² = 75575255224320000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 525 + ... + 19724.

Almost surely, 2^194390400 is an apocalyptic number.

194390400 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 194390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320152500).

194390400 is an abundant number, since it is smaller than the sum of its proper divisors (445914600).

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

194390400 is a wasteful number, since it uses less digits than its factorization.

194390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20276 (or 20259 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 194390400 is about 13942.3957769101. The cubic root of 194390400 is about 579.2840949088.

The spelling of 194390400 in words is "one hundred ninety-four million, three hundred ninety thousand, four hundred".