729149400 has 288 divisors, whose sum is σ = 2858076000. Its totient is φ = 166521600.

The previous prime is 729149327. The next prime is 729149429. The reversal of 729149400 is 4941927.

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 71 ways as a sum of consecutive naturals, for example, 616810 + ... + 617990.

It is an arithmetic number, because the mean of its divisors is an integer number (9923875).

Almost surely, 2^729149400 is an apocalyptic number.

729149400 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 729149400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429038000).

729149400 is an abundant number, since it is smaller than the sum of its proper divisors (2128926600).

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

729149400 is a wasteful number, since it uses less digits than its factorization.

729149400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 729149400 is about 27002.7665249322. The cubic root of 729149400 is about 900.0614772820.

The spelling of 729149400 in words is "seven hundred twenty-nine million, one hundred forty-nine thousand, four hundred".