96468480 has 240 divisors, whose sum is σ = 344710080. Its totient is φ = 24920064.

The previous prime is 96468469. The next prime is 96468517. The reversal of 96468480 is 8486469.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1221081 + ... + 1221159.

It is an arithmetic number, because the mean of its divisors is an integer number (1436292).

Almost surely, 2^96468480 is an apocalyptic number.

96468480 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 96468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172355040).

96468480 is an abundant number, since it is smaller than the sum of its proper divisors (248241600).

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

96468480 is a wasteful number, since it uses less digits than its factorization.

96468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 96468480 is about 9821.8368954081. The cubic root of 96468480 is about 458.6293161100.

The spelling of 96468480 in words is "ninety-six million, four hundred sixty-eight thousand, four hundred eighty".