709488000 has 384 divisors, whose sum is σ = 2751184800. Its totient is φ = 174182400.

The previous prime is 709487957. The next prime is 709488007. The reversal of 709488000 is 884907.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (709488007) by changing a digit.

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, 1871811 + ... + 1872189.

Almost surely, 2^709488000 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 709488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375592400).

709488000 is an abundant number, since it is smaller than the sum of its proper divisors (2041696800).

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

709488000 is a wasteful number, since it uses less digits than its factorization.

709488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 402 counting only the distinct ones).

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

The square root of 709488000 is about 26636.2159474652. The cubic root of 709488000 is about 891.8976468991.

The spelling of 709488000 in words is "seven hundred nine million, four hundred eighty-eight thousand".