985967400 has 384 divisors, whose sum is σ = 3542630400. Its totient is φ = 224640000.

The previous prime is 985967383. The next prime is 985967401. The reversal of 985967400 is 4769589.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 985967400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985967401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12480561 + ... + 12480639.

It is an arithmetic number, because the mean of its divisors is an integer number (9225600).

Almost surely, 2^985967400 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 985967400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771315200).

985967400 is an abundant number, since it is smaller than the sum of its proper divisors (2556663000).

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

985967400 is a wasteful number, since it uses less digits than its factorization.

985967400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 985967400 is about 31400.1178341738. The cubic root of 985967400 is about 995.3004151676.

The spelling of 985967400 in words is "nine hundred eighty-five million, nine hundred sixty-seven thousand, four hundred".