889872480 has 480 divisors, whose sum is σ = 3806865216. Its totient is φ = 191102976.

The previous prime is 889872469. The next prime is 889872481. The reversal of 889872480 is 84278988.

889872480 is a `hidden beast` number, since 8 + 8 + 98 + 72 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×889872480² = 1583746061322700800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (889872481) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1541952 + ... + 1542528.

Almost surely, 2^889872480 is an apocalyptic number.

889872480 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 889872480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903432608).

889872480 is an abundant number, since it is smaller than the sum of its proper divisors (2916992736).

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

889872480 is a wasteful number, since it uses less digits than its factorization.

889872480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 889872480 is about 29830.7304637349. The cubic root of 889872480 is about 961.8542287730.

The spelling of 889872480 in words is "eight hundred eighty-nine million, eight hundred seventy-two thousand, four hundred eighty".