298720742400 has 660 divisors, whose sum is σ = 1122259889520. Its totient is φ = 78498201600.

The previous prime is 298720742363. The next prime is 298720742407. The reversal of 298720742400 is 4247027892.

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

It is not an unprimeable number, because it can be changed into a prime (298720742407) 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 59 ways as a sum of consecutive naturals, for example, 147224586 + ... + 147226614.

It is an arithmetic number, because the mean of its divisors is an integer number (1700393772).

Almost surely, 2^298720742400 is an apocalyptic number.

298720742400 is a gapful number since it is divisible by the number (20) 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 298720742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561129944760).

298720742400 is an abundant number, since it is smaller than the sum of its proper divisors (823539147120).

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

298720742400 is a wasteful number, since it uses less digits than its factorization.

298720742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 298720742400 in words is "two hundred ninety-eight billion, seven hundred twenty million, seven hundred forty-two thousand, four hundred".