709464000 has 448 divisors, whose sum is σ = 2769242112. Its totient is φ = 156672000.

The previous prime is 709463999. The next prime is 709464001. The reversal of 709464000 is 464907.

It is an interprime number because it is at equal distance from previous prime (709463999) and next prime (709464001).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (709464001) 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 63 ways as a sum of consecutive naturals, for example, 6887949 + ... + 6888051.

It is an arithmetic number, because the mean of its divisors is an integer number (6181344).

Almost surely, 2^709464000 is an apocalyptic number.

709464000 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 709464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384621056).

709464000 is an abundant number, since it is smaller than the sum of its proper divisors (2059778112).

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

709464000 is a wasteful number, since it uses less digits than its factorization.

709464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 709464000 is about 26635.7654292119. The cubic root of 709464000 is about 891.8875899825.

The spelling of 709464000 in words is "seven hundred nine million, four hundred sixty-four thousand".