712938240 has 432 divisors, whose sum is σ = 2949982560. Its totient is φ = 162570240.

The previous prime is 712938229. The next prime is 712938269. The reversal of 712938240 is 42839217.

It is a tau number, because it is divible by the number of its divisors (432).

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 = 712938195 and 712938204.

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 47 ways as a sum of consecutive naturals, for example, 1693230 + ... + 1693650.

Almost surely, 2^712938240 is an apocalyptic number.

712938240 is a gapful number since it is divisible by the number (70) 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 712938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474991280).

712938240 is an abundant number, since it is smaller than the sum of its proper divisors (2237044320).

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

712938240 is a wasteful number, since it uses less digits than its factorization.

712938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 712938240 is about 26700.9033555047. The cubic root of 712938240 is about 893.3410756488.

It can be divided in two parts, 7129 and 38240, that added together give a square (45369 = 213²).

The spelling of 712938240 in words is "seven hundred twelve million, nine hundred thirty-eight thousand, two hundred forty".