498252456900 has 1215 divisors, whose sum is σ = 1917657860349. Its totient is φ = 111809808000.

The previous prime is 498252456893. The next prime is 498252456913. The reversal of 498252456900 is 9654252894.

The square root of 498252456900 is 705870.

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

498252456900 is a `hidden beast` number, since 498 + 2 + 52 + 45 + 69 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 179370884484 + 318881572416 = 423522^2 + 564696^2 .

It is a super-2 number, since 2×498252456900² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 16072659885 + ... + 16072659915.

Almost surely, 2^498252456900 is an apocalyptic number.

498252456900 is the 705870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 498252456900

498252456900 is an abundant number, since it is smaller than the sum of its proper divisors (1419405403449).

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

498252456900 is a wasteful number, since it uses less digits than its factorization.

498252456900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 498252456900 in words is "four hundred ninety-eight billion, two hundred fifty-two million, four hundred fifty-six thousand, nine hundred".