498381620400 has 360 divisors, whose sum is σ = 1854913666320. Its totient is φ = 123530434560.

The previous prime is 498381620327. The next prime is 498381620417. The reversal of 498381620400 is 4026183894.

It is a happy number.

498381620400 is a `hidden beast` number, since 4 + 9 + 83 + 8 + 162 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3556462 + ... + 3693938.

It is an arithmetic number, because the mean of its divisors is an integer number (5152537962).

Almost surely, 2^498381620400 is an apocalyptic number.

498381620400 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 498381620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927456833160).

498381620400 is an abundant number, since it is smaller than the sum of its proper divisors (1356532045920).

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

498381620400 is a wasteful number, since it uses less digits than its factorization.

498381620400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137573 (or 137559 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 498381620400 in words is "four hundred ninety-eight billion, three hundred eighty-one million, six hundred twenty thousand, four hundred".