98292480 has 288 divisors, whose sum is σ = 370863360. Its totient is φ = 21872640.

The previous prime is 98292479. The next prime is 98292503. The reversal of 98292480 is 8429289.

It is a super-2 number, since 2×98292480² = 19322823249100800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549031 + ... + 549209.

It is an arithmetic number, because the mean of its divisors is an integer number (1287720).

Almost surely, 2^98292480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185431680).

98292480 is an abundant number, since it is smaller than the sum of its proper divisors (272570880).

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

98292480 is a wasteful number, since it uses less digits than its factorization.

98292480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 98292480 is about 9914.2564017681. The cubic root of 98292480 is about 461.5018336745.

The spelling of 98292480 in words is "ninety-eight million, two hundred ninety-two thousand, four hundred eighty".