978285600 has 360 divisors, whose sum is σ = 3690263808. Its totient is φ = 251942400.

The previous prime is 978285593. The next prime is 978285601. The reversal of 978285600 is 6582879.

978285600 is a `hidden beast` number, since 9 + 7 + 82 + 8 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (978285601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2008557 + ... + 2009043.

Almost surely, 2^978285600 is an apocalyptic number.

978285600 is a gapful number since it is divisible by the number (90) 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 978285600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845131904).

978285600 is an abundant number, since it is smaller than the sum of its proper divisors (2711978208).

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

978285600 is a wasteful number, since it uses less digits than its factorization.

978285600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 978285600 is about 31277.5574493917. The cubic root of 978285600 is about 992.7088347785.

The spelling of 978285600 in words is "nine hundred seventy-eight million, two hundred eighty-five thousand, six hundred".