895716480 has 256 divisors, whose sum is σ = 2996352000. Its totient is φ = 227328000.

The previous prime is 895716467. The next prime is 895716491. The reversal of 895716480 is 84617598.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6011446 + ... + 6011594.

It is an arithmetic number, because the mean of its divisors is an integer number (11704500).

Almost surely, 2^895716480 is an apocalyptic number.

895716480 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 895716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498176000).

895716480 is an abundant number, since it is smaller than the sum of its proper divisors (2100635520).

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

895716480 is a wasteful number, since it uses less digits than its factorization.

895716480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 895716480 is about 29928.5228502845. The cubic root of 895716480 is about 963.9552098930.

The spelling of 895716480 in words is "eight hundred ninety-five million, seven hundred sixteen thousand, four hundred eighty".