868074480 has 240 divisors, whose sum is σ = 3588312000. Its totient is φ = 183140352.

The previous prime is 868074433. The next prime is 868074481. The reversal of 868074480 is 84470868.

It is a tau number, because it is divible by the number of its divisors (240).

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 (868074481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58896 + ... + 72144.

It is an arithmetic number, because the mean of its divisors is an integer number (14951300).

Almost surely, 2^868074480 is an apocalyptic number.

868074480 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 868074480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794156000).

868074480 is an abundant number, since it is smaller than the sum of its proper divisors (2720237520).

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

868074480 is a wasteful number, since it uses less digits than its factorization.

868074480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13288 (or 13279 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 868074480 is about 29463.1037061610. The cubic root of 868074480 is about 953.9354675967.

The spelling of 868074480 in words is "eight hundred sixty-eight million, seventy-four thousand, four hundred eighty".