986045400 has 168 divisors, whose sum is σ = 3437769180. Its totient is φ = 262906560.

The previous prime is 986045393. The next prime is 986045453. The reversal of 986045400 is 4540689.

986045400 is a `hidden beast` number, since 9 + 8 + 604 + 5 + 40 + 0 = 666.

It is a super-2 number, since 2×986045400² = 1944571061722320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 142419 + ... + 149181.

Almost surely, 2^986045400 is an apocalyptic number.

986045400 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 986045400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718884590).

986045400 is an abundant number, since it is smaller than the sum of its proper divisors (2451723780).

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

986045400 is a wasteful number, since it uses less digits than its factorization.

986045400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6797 (or 6773 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 986045400 is about 31401.3598431660. The cubic root of 986045400 is about 995.3266605875.

The spelling of 986045400 in words is "nine hundred eighty-six million, forty-five thousand, four hundred".