725990400 has 396 divisors, whose sum is σ = 2732204592. Its totient is φ = 183828480.

The previous prime is 725990393. The next prime is 725990401. The reversal of 725990400 is 4099527.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725990401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5299132 + ... + 5299268.

Almost surely, 2^725990400 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 725990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366102296).

725990400 is an abundant number, since it is smaller than the sum of its proper divisors (2006214192).

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

725990400 is a wasteful number, since it uses less digits than its factorization.

725990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 725990400 is about 26944.2090253175. The cubic root of 725990400 is about 898.7597731971.

The spelling of 725990400 in words is "seven hundred twenty-five million, nine hundred ninety thousand, four hundred".