734132400 has 240 divisors, whose sum is σ = 2496816384. Its totient is φ = 183997440.

The previous prime is 734132353. The next prime is 734132401. The reversal of 734132400 is 4231437.

734132400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (734132401) 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, 1849002 + ... + 1849398.

Almost surely, 2^734132400 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 734132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248408192).

734132400 is an abundant number, since it is smaller than the sum of its proper divisors (1762683984).

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

734132400 is a wasteful number, since it uses less digits than its factorization.

734132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 734132400 is about 27094.8777446956. The cubic root of 734132400 is about 902.1071614382.

Adding to 734132400 its reverse (4231437), we get a palindrome (738363837).

The spelling of 734132400 in words is "seven hundred thirty-four million, one hundred thirty-two thousand, four hundred".