19148400 has 180 divisors, whose sum is σ = 69261192. Its totient is φ = 5080320.

The previous prime is 19148383. The next prime is 19148407. The reversal of 19148400 is 484191.

19148400 = 758² + 759² + ... + 789².

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×19148400² = 733322445120000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19148407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97102 + ... + 97298.

Almost surely, 2^19148400 is an apocalyptic number.

19148400 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 19148400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34630596).

19148400 is an abundant number, since it is smaller than the sum of its proper divisors (50112792).

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

19148400 is a wasteful number, since it uses less digits than its factorization.

19148400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 19148400 is about 4375.8884812116. Note that the first 3 decimals coincide. The cubic root of 19148400 is about 267.5330846784.

The spelling of 19148400 in words is "nineteen million, one hundred forty-eight thousand, four hundred".