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498363840 = 26355131729
BaseRepresentation
bin11101101101000…
…110110111000000
31021201202111200000
4131231012313000
52010040120330
6121241400000
715231010542
oct3555066700
91251674600
10498363840
1123634a147
1211aa99000
137c331460
144a28b692
152db43560
hex1db46dc0

498363840 has 672 divisors, whose sum is σ = 2096902080. Its totient is φ = 111476736.

The previous prime is 498363821. The next prime is 498363847. The reversal of 498363840 is 48363894.

498363840 is a `hidden beast` number, since 4 + 9 + 8 + 3 + 638 + 4 + 0 = 666.

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

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498363847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17184946 + ... + 17184974.

It is an arithmetic number, because the mean of its divisors is an integer number (3120390).

Almost surely, 2498363840 is an apocalyptic number.

498363840 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 498363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048451040).

498363840 is an abundant number, since it is smaller than the sum of its proper divisors (1598538240).

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

498363840 is a wasteful number, since it uses less digits than its factorization.

498363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 498363840 is about 22324.0641461182. The cubic root of 498363840 is about 792.8338325610.

The spelling of 498363840 in words is "four hundred ninety-eight million, three hundred sixty-three thousand, eight hundred forty".