892644480 has 576 divisors, whose sum is σ = 3843702720. Its totient is φ = 186900480.

The previous prime is 892644433. The next prime is 892644481. The reversal of 892644480 is 84446298.

It is a tau number, because it is divible by the number of its divisors (576).

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 (892644481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6814015 + ... + 6814145.

It is an arithmetic number, because the mean of its divisors is an integer number (6673095).

Almost surely, 2^892644480 is an apocalyptic number.

892644480 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 892644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921851360).

892644480 is an abundant number, since it is smaller than the sum of its proper divisors (2951058240).

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

892644480 is a wasteful number, since it uses less digits than its factorization.

892644480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 892644480 is about 29877.1564912058. The cubic root of 892644480 is about 962.8519358413.

The spelling of 892644480 in words is "eight hundred ninety-two million, six hundred forty-four thousand, four hundred eighty".