498746688400 has 45 divisors (see below), whose sum is σ = 1198272853713. Its totient is φ = 199493025600.

The previous prime is 498746688367. The next prime is 498746688409. The reversal of 498746688400 is 4886647894.

The square root of 498746688400 is 706220.

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

It can be written as a sum of positive squares in only one way, i.e., 179548807824 + 319197880576 = 423732^2 + 564976^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (498746688409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14106745 + ... + 14142055.

Almost surely, 2^498746688400 is an apocalyptic number.

498746688400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

498746688400 is the 706220-th square number.

It is an amenable number.

498746688400 is an abundant number, since it is smaller than the sum of its proper divisors (699526165313).

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

498746688400 is an frugal number, since it uses more digits than its factorization.

498746688400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70640 (or 35318 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 64.

Multiplying 498746688400 by its sum of digits (64), we get a square (31919788057600 = 5649760²).

The spelling of 498746688400 in words is "four hundred ninety-eight billion, seven hundred forty-six million, six hundred eighty-eight thousand, four hundred".