872463900 has 288 divisors, whose sum is σ = 3179796480. Its totient is φ = 179424000.

The previous prime is 872463871. The next prime is 872463929. The reversal of 872463900 is 9364278.

It is an interprime number because it is at equal distance from previous prime (872463871) and next prime (872463929).

It is a super-2 number, since 2×872463900² = 1522386513606420000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4134795 + ... + 4135005.

It is an arithmetic number, because the mean of its divisors is an integer number (11040960).

Almost surely, 2^872463900 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 872463900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589898240).

872463900 is an abundant number, since it is smaller than the sum of its proper divisors (2307332580).

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

872463900 is a wasteful number, since it uses less digits than its factorization.

872463900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 872463900 is about 29537.4998942023. The cubic root of 872463900 is about 955.5406238778.

The spelling of 872463900 in words is "eight hundred seventy-two million, four hundred sixty-three thousand, nine hundred".