498921120 has 240 divisors, whose sum is σ = 1779940008. Its totient is φ = 131604480.

The previous prime is 498921119. The next prime is 498921127. The reversal of 498921120 is 21129894.

It can be written as a sum of positive squares in 4 ways, for example, as 446561424 + 52359696 = 21132^2 + 7236^2 .

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 (36).

It is not an unprimeable number, because it can be changed into a prime (498921127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1775380 + ... + 1775660.

Almost surely, 2^498921120 is an apocalyptic number.

498921120 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 498921120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889970004).

498921120 is an abundant number, since it is smaller than the sum of its proper divisors (1281018888).

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

498921120 is a wasteful number, since it uses less digits than its factorization.

498921120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 498921120 is about 22336.5422570281. The cubic root of 498921120 is about 793.1292431408.

The spelling of 498921120 in words is "four hundred ninety-eight million, nine hundred twenty-one thousand, one hundred twenty".