712981440 has 336 divisors, whose sum is σ = 2606149728. Its totient is φ = 185462784.

The previous prime is 712981433. The next prime is 712981447. The reversal of 712981440 is 44189217.

It is an interprime number because it is at equal distance from previous prime (712981433) and next prime (712981447).

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

It is a junction number, because it is equal to n+sod(n) for n = 712981395 and 712981404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712981447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4121194 + ... + 4121366.

It is an arithmetic number, because the mean of its divisors is an integer number (7756398).

Almost surely, 2^712981440 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 712981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303074864).

712981440 is an abundant number, since it is smaller than the sum of its proper divisors (1893168288).

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

712981440 is a wasteful number, since it uses less digits than its factorization.

712981440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 712981440 is about 26701.7123046444. The cubic root of 712981440 is about 893.3591190795.

The spelling of 712981440 in words is "seven hundred twelve million, nine hundred eighty-one thousand, four hundred forty".