498315600 has 180 divisors, whose sum is σ = 1742773500. Its totient is φ = 131850240.

The previous prime is 498315589. The next prime is 498315617. The reversal of 498315600 is 6513894.

498315600 is a `hidden beast` number, since 4 + 98 + 3 + 1 + 560 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 198471744 + 299843856 = 14088^2 + 17316^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 535936 + ... + 536864.

It is an arithmetic number, because the mean of its divisors is an integer number (9682075).

Almost surely, 2^498315600 is an apocalyptic number.

498315600 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 498315600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871386750).

498315600 is an abundant number, since it is smaller than the sum of its proper divisors (1244457900).

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

498315600 is a wasteful number, since it uses less digits than its factorization.

498315600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 498315600 is about 22322.9836715436. The cubic root of 498315600 is about 792.8082504895.

The spelling of 498315600 in words is "four hundred ninety-eight million, three hundred fifteen thousand, six hundred".