870269400 has 1152 divisors, whose sum is σ = 4274726400. Its totient is φ = 159667200.

The previous prime is 870269399. The next prime is 870269419. The reversal of 870269400 is 4962078.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 37837789 + ... + 37837811.

It is an arithmetic number, because the mean of its divisors is an integer number (3710700).

Almost surely, 2^870269400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870269400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137363200).

870269400 is an abundant number, since it is smaller than the sum of its proper divisors (3404457000).

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

870269400 is a wasteful number, since it uses less digits than its factorization.

870269400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 870269400 is about 29500.3288117268. The cubic root of 870269400 is about 954.7387971995.

The spelling of 870269400 in words is "eight hundred seventy million, two hundred sixty-nine thousand, four hundred".