723479904 has 288 divisors, whose sum is σ = 2564835840. Its totient is φ = 197455104.

The previous prime is 723479903. The next prime is 723479909. The reversal of 723479904 is 409974327.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 723479904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (723479903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 973357 + ... + 974099.

It is an arithmetic number, because the mean of its divisors is an integer number (8905680).

Almost surely, 2^723479904 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 723479904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282417920).

723479904 is an abundant number, since it is smaller than the sum of its proper divisors (1841355936).

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

723479904 is a wasteful number, since it uses less digits than its factorization.

723479904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 723479904 is about 26897.5817500384. The cubic root of 723479904 is about 897.7225975699.

The spelling of 723479904 in words is "seven hundred twenty-three million, four hundred seventy-nine thousand, nine hundred four".