99479520 has 288 divisors, whose sum is σ = 396264960. Its totient is φ = 22256640.

The previous prime is 99479519. The next prime is 99479521. The reversal of 99479520 is 2597499.

It is an interprime number because it is at equal distance from previous prime (99479519) and next prime (99479521).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99479521) 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, 715611 + ... + 715749.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2^99479520 is an apocalyptic number.

99479520 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 99479520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

99479520 is an abundant number, since it is smaller than the sum of its proper divisors (296785440).

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

99479520 is a wasteful number, since it uses less digits than its factorization.

99479520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 99479520 is about 9973.9420491599. The cubic root of 99479520 is about 463.3521974734.

It can be divided in two parts, 99479 and 520, that added together give a palindrome (99999).

The spelling of 99479520 in words is "ninety-nine million, four hundred seventy-nine thousand, five hundred twenty".