734198400 has 576 divisors, whose sum is σ = 2952232920. Its totient is φ = 172523520.

The previous prime is 734198359. The next prime is 734198401. The reversal of 734198400 is 4891437.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 109998144 + 624200256 = 10488^2 + 24984^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (734198401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13852774 + ... + 13852826.

Almost surely, 2^734198400 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 734198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476116460).

734198400 is an abundant number, since it is smaller than the sum of its proper divisors (2218034520).

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

734198400 is a wasteful number, since it uses less digits than its factorization.

734198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 113 counting only the distinct ones).

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

The square root of 734198400 is about 27096.0956597071. The cubic root of 734198400 is about 902.1341943860.

The spelling of 734198400 in words is "seven hundred thirty-four million, one hundred ninety-eight thousand, four hundred".