298465542400 has 81 divisors (see below), whose sum is σ = 738857046711. Its totient is φ = 119368734720.

The previous prime is 298465542371. The next prime is 298465542409. The reversal of 298465542400 is 4245564892.

The square root of 298465542400 is 546320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2947186944 + 295518355456 = 54288^2 + 543616^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (298465542409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43702186 + ... + 43709014.

Almost surely, 2^298465542400 is an apocalyptic number.

298465542400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

298465542400 is the 546320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 298465542400

298465542400 is an abundant number, since it is smaller than the sum of its proper divisors (440391504311).

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

298465542400 is an frugal number, since it uses more digits than its factorization.

298465542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13684 (or 6836 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 49.

Multiplying 298465542400 by its sum of digits (49), we get a square (14624811577600 = 3824240²).

The spelling of 298465542400 in words is "two hundred ninety-eight billion, four hundred sixty-five million, five hundred forty-two thousand, four hundred".