498313166400 has 1680 divisors, whose sum is σ = 2250023846400. Its totient is φ = 105584394240.

The previous prime is 498313166399. The next prime is 498313166419. The reversal of 498313166400 is 4661313894.

498313166400 is a `hidden beast` number, since 4 + 9 + 83 + 1 + 3 + 166 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1218369396 + ... + 1218369804.

Almost surely, 2^498313166400 is an apocalyptic number.

498313166400 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 498313166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125011923200).

498313166400 is an abundant number, since it is smaller than the sum of its proper divisors (1751710680000).

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

498313166400 is a wasteful number, since it uses less digits than its factorization.

498313166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 498313166400 in words is "four hundred ninety-eight billion, three hundred thirteen million, one hundred sixty-six thousand, four hundred".