1998295200 has 432 divisors, whose sum is σ = 8028611136. Its totient is φ = 462950400.

The previous prime is 1998295171. The next prime is 1998295217. The reversal of 1998295200 is 25928991.

1998295200 is a `hidden beast` number, since 19 + 98 + 29 + 520 + 0 = 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, 1821052 + ... + 1822148.

It is an arithmetic number, because the mean of its divisors is an integer number (18584748).

Almost surely, 2^1998295200 is an apocalyptic number.

1998295200 is a gapful number since it is divisible by the number (10) 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 1998295200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4014305568).

1998295200 is an abundant number, since it is smaller than the sum of its proper divisors (6030315936).

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

1998295200 is a wasteful number, since it uses less digits than its factorization.

1998295200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 1998295200 is about 44702.2952430857. The cubic root of 1998295200 is about 1259.5629625634.

The spelling of 1998295200 in words is "one billion, nine hundred ninety-eight million, two hundred ninety-five thousand, two hundred".