729400 has 48 divisors (see below), whose sum is σ = 1941840. Its totient is φ = 249600.

The previous prime is 729389. The next prime is 729403. The reversal of 729400 is 4927.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1140 + ... + 1660.

It is an arithmetic number, because the mean of its divisors is an integer number (40455).

2⁷²⁹⁴⁰⁰ is an apocalyptic number.

729400 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 729400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970920).

729400 is an abundant number, since it is smaller than the sum of its proper divisors (1212440).

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

729400 is a wasteful number, since it uses less digits than its factorization.

729400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 729400 is about 854.0491789118. The cubic root of 729400 is about 90.0164578956.

It can be divided in two parts, 729 and 400, that multiplied together give a square (291600 = 540²).

The spelling of 729400 in words is "seven hundred twenty-nine thousand, four hundred".