99958400 has 48 divisors (see below), whose sum is σ = 246936390. Its totient is φ = 39982080.

The previous prime is 99958399. The next prime is 99958409. The reversal of 99958400 is 485999.

It can be written as a sum of positive squares in 3 ways, for example, as 90174016 + 9784384 = 9496^2 + 3128^2 .

It is not an unprimeable number, because it can be changed into a prime (99958409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12419 + ... + 18818.

Almost surely, 2^99958400 is an apocalyptic number.

It is an amenable number.

99958400 is an abundant number, since it is smaller than the sum of its proper divisors (146977990).

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

99958400 is a wasteful number, since it uses less digits than its factorization.

99958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31261 (or 31244 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 44.

The square root of 99958400 is about 9997.9197836350. The cubic root of 99958400 is about 464.0945110690.

The spelling of 99958400 in words is "ninety-nine million, nine hundred fifty-eight thousand, four hundred".