94200480 has 288 divisors, whose sum is σ = 370319040. Its totient is φ = 21565440.

The previous prime is 94200467. The next prime is 94200481. The reversal of 94200480 is 8400249.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (94200481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300804 + ... + 301116.

It is an arithmetic number, because the mean of its divisors is an integer number (1285830).

Almost surely, 2^94200480 is an apocalyptic number.

94200480 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 94200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185159520).

94200480 is an abundant number, since it is smaller than the sum of its proper divisors (276118560).

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

94200480 is a wasteful number, since it uses less digits than its factorization.

94200480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 94200480 is about 9705.6931746269. The cubic root of 94200480 is about 455.0066094117.

The spelling of 94200480 in words is "ninety-four million, two hundred thousand, four hundred eighty".