712082448 has 160 divisors (see below), whose sum is σ = 2548408320. Its totient is φ = 184947840.

The previous prime is 712082419. The next prime is 712082453. The reversal of 712082448 is 844280217.

712082448 is a `hidden beast` number, since 7 + 1 + 208 + 2 + 448 = 666.

It is a super-2 number, since 2×712082448² = 1014122825499345408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 22561 + ... + 43967.

It is an arithmetic number, because the mean of its divisors is an integer number (15927552).

Almost surely, 2^712082448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712082448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274204160).

712082448 is an abundant number, since it is smaller than the sum of its proper divisors (1836325872).

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

712082448 is a wasteful number, since it uses less digits than its factorization.

712082448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21442 (or 21430 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 712082448 is about 26684.8730182476. The cubic root of 712082448 is about 892.9834849498.

The spelling of 712082448 in words is "seven hundred twelve million, eighty-two thousand, four hundred forty-eight".