1870465200 has 240 divisors, whose sum is σ = 6310310400. Its totient is φ = 472908800.

The previous prime is 1870465193. The next prime is 1870465211. The reversal of 1870465200 is 25640781.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1870465200² = 6997280128822080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2052745 + ... + 2053655.

It is an arithmetic number, because the mean of its divisors is an integer number (26292960).

Almost surely, 2^1870465200 is an apocalyptic number.

1870465200 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 1870465200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155155200).

1870465200 is an abundant number, since it is smaller than the sum of its proper divisors (4439845200).

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

1870465200 is a wasteful number, since it uses less digits than its factorization.

1870465200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 1870465200 is about 43248.8751298805. The cubic root of 1870465200 is about 1232.1111209997. Note that the first 4 decimals are identical.

The spelling of 1870465200 in words is "one billion, eight hundred seventy million, four hundred sixty-five thousand, two hundred".