723550464 has 648 divisors, whose sum is σ = 2862601560. Its totient is φ = 173408256.

The previous prime is 723550427. The next prime is 723550501. The reversal of 723550464 is 464055327.

It is an interprime number because it is at equal distance from previous prime (723550427) and next prime (723550501).

It can be written as a sum of positive squares in 4 ways, for example, as 88510464 + 635040000 = 9408^2 + 25200^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24950002 + ... + 24950030.

It is an arithmetic number, because the mean of its divisors is an integer number (4417595).

Almost surely, 2^723550464 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 723550464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431300780).

723550464 is an abundant number, since it is smaller than the sum of its proper divisors (2139051096).

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

723550464 is a wasteful number, since it uses less digits than its factorization.

723550464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 723550464 is about 26898.8933601366. The cubic root of 723550464 is about 897.7517811713.

The spelling of 723550464 in words is "seven hundred twenty-three million, five hundred fifty thousand, four hundred sixty-four".