872592480 has 192 divisors, whose sum is σ = 3215116800. Its totient is φ = 220423680.

The previous prime is 872592467. The next prime is 872592481. The reversal of 872592480 is 84295278.

872592480 is a `hidden beast` number, since 87 + 2 + 5 + 92 + 480 = 666.

It is a super-2 number, since 2×872592480² = 1522835272305100800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872592481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76765 + ... + 87395.

It is an arithmetic number, because the mean of its divisors is an integer number (16745400).

Almost surely, 2^872592480 is an apocalyptic number.

872592480 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 872592480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607558400).

872592480 is an abundant number, since it is smaller than the sum of its proper divisors (2342524320).

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

872592480 is a wasteful number, since it uses less digits than its factorization.

872592480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10674 (or 10660 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 872592480 is about 29539.6763692495. The cubic root of 872592480 is about 955.5875627361.

The spelling of 872592480 in words is "eight hundred seventy-two million, five hundred ninety-two thousand, four hundred eighty".