724950000 has 300 divisors, whose sum is σ = 2637253080. Its totient is φ = 192240000.

The previous prime is 724949999. The next prime is 724950007. The reversal of 724950000 is 59427.

It is a tau number, because it is divible by the number of its divisors (300).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (724950007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4049911 + ... + 4050089.

Almost surely, 2^724950000 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 724950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318626540).

724950000 is an abundant number, since it is smaller than the sum of its proper divisors (1912303080).

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

724950000 is an equidigital number, since it uses as much as digits as its factorization.

724950000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 724950000 is about 26924.8955429729. The cubic root of 724950000 is about 898.3302373522.

The spelling of 724950000 in words is "seven hundred twenty-four million, nine hundred fifty thousand".