729302400 has 384 divisors, whose sum is σ = 2792678400. Its totient is φ = 185518080.

The previous prime is 729302393. The next prime is 729302407. The reversal of 729302400 is 4203927.

It is an interprime number because it is at equal distance from previous prime (729302393) and next prime (729302407).

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729302407) 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, 1987017 + ... + 1987383.

It is an arithmetic number, because the mean of its divisors is an integer number (7272600).

Almost surely, 2^729302400 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 729302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396339200).

729302400 is an abundant number, since it is smaller than the sum of its proper divisors (2063376000).

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

729302400 is a wasteful number, since it uses less digits than its factorization.

729302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 729302400 is about 27005.5994193797. The cubic root of 729302400 is about 900.1244272413.

The spelling of 729302400 in words is "seven hundred twenty-nine million, three hundred two thousand, four hundred".