984972240 has 480 divisors, whose sum is σ = 4094737920. Its totient is φ = 207212544.

The previous prime is 984972229. The next prime is 984972251. The reversal of 984972240 is 42279489.

It is an interprime number because it is at equal distance from previous prime (984972229) and next prime (984972251).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3361534 + ... + 3361826.

It is an arithmetic number, because the mean of its divisors is an integer number (8530704).

Almost surely, 2^984972240 is an apocalyptic number.

984972240 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 984972240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047368960).

984972240 is an abundant number, since it is smaller than the sum of its proper divisors (3109765680).

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

984972240 is a wasteful number, since it uses less digits than its factorization.

984972240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 984972240 is about 31384.2673962608. The cubic root of 984972240 is about 994.9654424334.

The spelling of 984972240 in words is "nine hundred eighty-four million, nine hundred seventy-two thousand, two hundred forty".