48098880 has 224 divisors, whose sum is σ = 179222400. Its totient is φ = 12109824.

The previous prime is 48098873. The next prime is 48098903. The reversal of 48098880 is 8889084.

48098880 is a `hidden beast` number, since 480 + 98 + 8 + 80 = 666.

It is a super-3 number, since 3×48098880³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164014 + ... + 164306.

It is an arithmetic number, because the mean of its divisors is an integer number (800100).

Almost surely, 2^48098880 is an apocalyptic number.

48098880 is a gapful number since it is divisible by the number (40) 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 48098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89611200).

48098880 is an abundant number, since it is smaller than the sum of its proper divisors (131123520).

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

48098880 is a wasteful number, since it uses less digits than its factorization.

48098880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 48098880 is about 6935.3356083177. The cubic root of 48098880 is about 363.6734986318.

It can be divided in two parts, 4809 and 8880, that added together give a square (13689 = 117²).

The spelling of 48098880 in words is "forty-eight million, ninety-eight thousand, eight hundred eighty".