96454800 has 300 divisors, whose sum is σ = 374424820. Its totient is φ = 23639040.

The previous prime is 96454789. The next prime is 96454817. The reversal of 96454800 is 845469.

96454800 is a `hidden beast` number, since 9 + 645 + 4 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 571536 + 95883264 = 756^2 + 9792^2 .

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 421086 + ... + 421314.

Almost surely, 2^96454800 is an apocalyptic number.

96454800 is a gapful number since it is divisible by the number (90) 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 96454800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187212410).

96454800 is an abundant number, since it is smaller than the sum of its proper divisors (277970020).

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

96454800 is a wasteful number, since it uses less digits than its factorization.

96454800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 96454800 is about 9821.1404633067. The cubic root of 96454800 is about 458.6076359867.

The spelling of 96454800 in words is "ninety-six million, four hundred fifty-four thousand, eight hundred".