985670400 has 432 divisors, whose sum is σ = 3832254720. Its totient is φ = 219955200.

The previous prime is 985670383. The next prime is 985670419. The reversal of 985670400 is 4076589.

It is a super-2 number, since 2×985670400² = 1943092274872320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 2745421 + ... + 2745779.

It is an arithmetic number, because the mean of its divisors is an integer number (8870960).

Almost surely, 2^985670400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916127360).

985670400 is an abundant number, since it is smaller than the sum of its proper divisors (2846584320).

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

985670400 is a wasteful number, since it uses less digits than its factorization.

985670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 985670400 is about 31395.3881963578. The cubic root of 985670400 is about 995.2004680126.

The spelling of 985670400 in words is "nine hundred eighty-five million, six hundred seventy thousand, four hundred".