30449457792 has 640 divisors, whose sum is σ = 105155321040. Its totient is φ = 8663334912.

The previous prime is 30449457769. The next prime is 30449457821. The reversal of 30449457792 is 29775494403.

30449457792 is a `hidden beast` number, since 3 + 0 + 449 + 45 + 77 + 92 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14336709696 + 16112748096 = 119736^2 + 126936^2 .

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 79 ways as a sum of consecutive naturals, for example, 222258748 + ... + 222258884.

Almost surely, 2^30449457792 is an apocalyptic number.

30449457792 is a gapful number since it is divisible by the number (32) 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 30449457792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52577660520).

30449457792 is an abundant number, since it is smaller than the sum of its proper divisors (74705863248).

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

30449457792 is a wasteful number, since it uses less digits than its factorization.

30449457792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 30449457792 in words is "thirty billion, four hundred forty-nine million, four hundred fifty-seven thousand, seven hundred ninety-two".