891484440 has 384 divisors, whose sum is σ = 3447360000. Its totient is φ = 184208640.

The previous prime is 891484421. The next prime is 891484441. The reversal of 891484440 is 44484198.

It is a super-2 number, since 2×891484440² = 1589489013524227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 891484392 and 891484401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (891484441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4980271 + ... + 4980449.

It is an arithmetic number, because the mean of its divisors is an integer number (8977500).

Almost surely, 2^891484440 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 891484440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723680000).

891484440 is an abundant number, since it is smaller than the sum of its proper divisors (2555875560).

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

891484440 is a wasteful number, since it uses less digits than its factorization.

891484440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 891484440 is about 29857.7366858240. The cubic root of 891484440 is about 962.4346622314.

The spelling of 891484440 in words is "eight hundred ninety-one million, four hundred eighty-four thousand, four hundred forty".