185490000 has 250 divisors, whose sum is σ = 673792130. Its totient is φ = 49248000.

The previous prime is 185489999. The next prime is 185490001. The reversal of 185490000 is 94581.

It is an interprime number because it is at equal distance from previous prime (185489999) and next prime (185490001).

It can be written as a sum of positive squares in 5 ways, for example, as 30338064 + 155151936 = 5508^2 + 12456^2 .

It is a tau number, because it is divible by the number of its divisors (250).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (185490001) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 809886 + ... + 810114.

Almost surely, 2^185490000 is an apocalyptic number.

185490000 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 185490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336896065).

185490000 is an abundant number, since it is smaller than the sum of its proper divisors (488302130).

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

185490000 is an equidigital number, since it uses as much as digits as its factorization.

185490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 185490000 is about 13619.4713553794. The cubic root of 185490000 is about 570.3045463956.

The spelling of 185490000 in words is "one hundred eighty-five million, four hundred ninety thousand".