984747456 has 280 divisors, whose sum is σ = 3640872576. Its totient is φ = 255674880.

The previous prime is 984747451. The next prime is 984747469. The reversal of 984747456 is 654747489.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (984747451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 397935 + ... + 400401.

Almost surely, 2^984747456 is an apocalyptic number.

984747456 is a gapful number since it is divisible by the number (96) 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 984747456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820436288).

984747456 is an abundant number, since it is smaller than the sum of its proper divisors (2656125120).

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

984747456 is a wasteful number, since it uses less digits than its factorization.

984747456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2490 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 984747456 is about 31380.6860345659. The cubic root of 984747456 is about 994.8897484802.

The spelling of 984747456 in words is "nine hundred eighty-four million, seven hundred forty-seven thousand, four hundred fifty-six".