498377390400 has 252 divisors, whose sum is σ = 1819227211932. Its totient is φ = 129308590080.

The previous prime is 498377390383. The next prime is 498377390461. The reversal of 498377390400 is 4093773894.

498377390400 is a `hidden beast` number, since 4 + 9 + 83 + 7 + 73 + 90 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2772654336 + 495604736064 = 52656^2 + 703992^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65104 + ... + 1000496.

Almost surely, 2^498377390400 is an apocalyptic number.

498377390400 is a gapful number since it is divisible by the number (40) 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 498377390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909613605966).

498377390400 is an abundant number, since it is smaller than the sum of its proper divisors (1320849821532).

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

498377390400 is a wasteful number, since it uses less digits than its factorization.

498377390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935458 (or 935440 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 498377390400 in words is "four hundred ninety-eight billion, three hundred seventy-seven million, three hundred ninety thousand, four hundred".