995293440 has 288 divisors, whose sum is σ = 3649766400. Its totient is φ = 256573440.

The previous prime is 995293433. The next prime is 995293457. The reversal of 995293440 is 44392599.

It is a happy number.

995293440 is a `hidden beast` number, since 99 + 529 + 34 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 1070896 + ... + 1071824.

It is an arithmetic number, because the mean of its divisors is an integer number (12672800).

Almost surely, 2^995293440 is an apocalyptic number.

995293440 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 995293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824883200).

995293440 is an abundant number, since it is smaller than the sum of its proper divisors (2654472960).

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

995293440 is a wasteful number, since it uses less digits than its factorization.

995293440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 995293440 is about 31548.2715849854. The cubic root of 995293440 is about 998.4286789099.

The spelling of 995293440 in words is "nine hundred ninety-five million, two hundred ninety-three thousand, four hundred forty".