498538202400 has 432 divisors, whose sum is σ = 2010443198400. Its totient is φ = 113875937280.

The previous prime is 498538202359. The next prime is 498538202417. The reversal of 498538202400 is 4202835894.

498538202400 is a `hidden beast` number, since 4 + 9 + 8 + 5 + 38 + 202 + 400 = 666.

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, 117883486 + ... + 117887714.

It is an arithmetic number, because the mean of its divisors is an integer number (4653803700).

Almost surely, 2^498538202400 is an apocalyptic number.

498538202400 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 498538202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005221599200).

498538202400 is an abundant number, since it is smaller than the sum of its proper divisors (1511904996000).

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

498538202400 is a wasteful number, since it uses less digits than its factorization.

498538202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6601 (or 6585 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 498538202400 in words is "four hundred ninety-eight billion, five hundred thirty-eight million, two hundred two thousand, four hundred".