711389952 has 540 divisors, whose sum is σ = 2715617520. Its totient is φ = 181149696.

The previous prime is 711389933. The next prime is 711389969. The reversal of 711389952 is 259983117.

Its product of digits (136080) is a multiple of the sum of its prime divisors (54).

It is a junction number, because it is equal to n+sod(n) for n = 711389898 and 711389907.

It is an unprimeable number.

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, 24530674 + ... + 24530702.

Almost surely, 2^711389952 is an apocalyptic number.

711389952 is a gapful number since it is divisible by the number (72) 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 711389952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357808760).

711389952 is an abundant number, since it is smaller than the sum of its proper divisors (2004227568).

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

711389952 is a wasteful number, since it uses less digits than its factorization.

711389952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 54 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 711389952 is about 26671.8944209068. The cubic root of 711389952 is about 892.6939173298.

The spelling of 711389952 in words is "seven hundred eleven million, three hundred eighty-nine thousand, nine hundred fifty-two".