872353440 has 288 divisors, whose sum is σ = 3495623040. Its totient is φ = 193923072.

The previous prime is 872353439. The next prime is 872353451. The reversal of 872353440 is 44353278.

It is a happy number.

872353440 is a `hidden beast` number, since 87 + 2 + 3 + 534 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×872353440² = 1522001048559667200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 872353395 and 872353404.

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 47 ways as a sum of consecutive naturals, for example, 371791 + ... + 374129.

It is an arithmetic number, because the mean of its divisors is an integer number (12137580).

Almost surely, 2^872353440 is an apocalyptic number.

872353440 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 872353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747811520).

872353440 is an abundant number, since it is smaller than the sum of its proper divisors (2623269600).

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

872353440 is a wasteful number, since it uses less digits than its factorization.

872353440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 872353440 is about 29535.6300085168. The cubic root of 872353440 is about 955.5002961454.

The spelling of 872353440 in words is "eight hundred seventy-two million, three hundred fifty-three thousand, four hundred forty".