96449702400 has 480 divisors, whose sum is σ = 358960715520. Its totient is φ = 25360957440.

The previous prime is 96449702359. The next prime is 96449702417. The reversal of 96449702400 is 420794469.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 25226889 + ... + 25230711.

It is an arithmetic number, because the mean of its divisors is an integer number (747834824).

Almost surely, 2^96449702400 is an apocalyptic number.

96449702400 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 96449702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179480357760).

96449702400 is an abundant number, since it is smaller than the sum of its proper divisors (262511013120).

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

96449702400 is a wasteful number, since it uses less digits than its factorization.

96449702400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3933 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 96449702400 in words is "ninety-six billion, four hundred forty-nine million, seven hundred two thousand, four hundred".