870493200 has 120 divisors (see below), whose sum is σ = 2841300288. Its totient is φ = 227735040.

The previous prime is 870493193. The next prime is 870493201. The reversal of 870493200 is 2394078.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×870493200² = 1515516822492480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (870493201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56757 + ... + 70443.

Almost surely, 2^870493200 is an apocalyptic number.

870493200 is a gapful number since it is divisible by the number (80) 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 870493200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420650144).

870493200 is an abundant number, since it is smaller than the sum of its proper divisors (1970807088).

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

870493200 is a wasteful number, since it uses less digits than its factorization.

870493200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13761 (or 13750 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 870493200 is about 29504.1217459527. The cubic root of 870493200 is about 954.8206309510.

The spelling of 870493200 in words is "eight hundred seventy million, four hundred ninety-three thousand, two hundred".