730598400 has 528 divisors, whose sum is σ = 3086548480. Its totient is φ = 165888000.

The previous prime is 730598389. The next prime is 730598413. The reversal of 730598400 is 4895037.

It is a super-3 number, since 3×730598400³ (a number of 28 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 4838325 + ... + 4838475.

Almost surely, 2^730598400 is an apocalyptic number.

730598400 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 730598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543274240).

730598400 is an abundant number, since it is smaller than the sum of its proper divisors (2355950080).

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

730598400 is a wasteful number, since it uses less digits than its factorization.

730598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 730598400 is about 27029.5837925781. The cubic root of 730598400 is about 900.6572976163.

The spelling of 730598400 in words is "seven hundred thirty million, five hundred ninety-eight thousand, four hundred".