896417280 has 480 divisors, whose sum is σ = 3539023488. Its totient is φ = 215654400.

The previous prime is 896417251. The next prime is 896417299. The reversal of 896417280 is 82714698.

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

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6842815 + ... + 6842945.

Almost surely, 2^896417280 is an apocalyptic number.

896417280 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 896417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769511744).

896417280 is an abundant number, since it is smaller than the sum of its proper divisors (2642606208).

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

896417280 is a wasteful number, since it uses less digits than its factorization.

896417280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 896417280 is about 29940.2284560422. The cubic root of 896417280 is about 964.2065408012.

It can be divided in two parts, 8964 and 17280, that added together give a square (26244 = 162²).

The spelling of 896417280 in words is "eight hundred ninety-six million, four hundred seventeen thousand, two hundred eighty".