995198400 has 420 divisors, whose sum is σ = 4184495568. Its totient is φ = 227266560.

The previous prime is 995198387. The next prime is 995198401. The reversal of 995198400 is 4891599.

995198400 is a `hidden beast` number, since 99 + 519 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (995198401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 906652 + ... + 907748.

Almost surely, 2^995198400 is an apocalyptic number.

995198400 is a gapful number since it is divisible by the number (90) 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 995198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092247784).

995198400 is an abundant number, since it is smaller than the sum of its proper divisors (3189297168).

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

995198400 is a wasteful number, since it uses less digits than its factorization.

995198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1114 counting only the distinct ones).

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

The square root of 995198400 is about 31546.7652858419. The cubic root of 995198400 is about 998.3968981043.

The spelling of 995198400 in words is "nine hundred ninety-five million, one hundred ninety-eight thousand, four hundred".