1900166400 has 324 divisors, whose sum is σ = 7413588000. Its totient is φ = 460492800.

The previous prime is 1900166399. The next prime is 1900166419. The reversal of 1900166400 is 46610091.

1900166400 is a `hidden beast` number, since 1 + 9 + 0 + 0 + 16 + 640 + 0 = 666.

It is a super-2 number, since 2×1900166400² = 7221264695377920000, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 632101 + ... + 635099.

Almost surely, 2^1900166400 is an apocalyptic number.

1900166400 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 1900166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706794000).

1900166400 is an abundant number, since it is smaller than the sum of its proper divisors (5513421600).

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

1900166400 is a wasteful number, since it uses less digits than its factorization.

1900166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 3020 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1900166400 is about 43590.8981325230. The cubic root of 1900166400 is about 1238.5984859030.

Adding to 1900166400 its reverse (46610091), we get a palindrome (1946776491).

The spelling of 1900166400 in words is "one billion, nine hundred million, one hundred sixty-six thousand, four hundred".