729600480 has 384 divisors, whose sum is σ = 3048192000. Its totient is φ = 159363072.

The previous prime is 729600451. The next prime is 729600523. The reversal of 729600480 is 84006927.

729600480 is a `hidden beast` number, since 7 + 2 + 9 + 600 + 48 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 694996 + ... + 696044.

It is an arithmetic number, because the mean of its divisors is an integer number (7938000).

Almost surely, 2^729600480 is an apocalyptic number.

729600480 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 729600480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524096000).

729600480 is an abundant number, since it is smaller than the sum of its proper divisors (2318591520).

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

729600480 is a wasteful number, since it uses less digits than its factorization.

729600480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 729600480 is about 27011.1177110463. The cubic root of 729600480 is about 900.2470432934.

The spelling of 729600480 in words is "seven hundred twenty-nine million, six hundred thousand, four hundred eighty".