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494994240 = 26345132113
BaseRepresentation
bin11101100000010…
…000001101000000
31021111102022110000
4131200100031000
52003204303430
6121041240000
715160244616
oct3540201500
91244368400
10494994240
11234458554
12119933000
137b721800
1449a516b6
152d6c9e60
hex1d810340

494994240 has 420 divisors, whose sum is σ = 1923518124. Its totient is φ = 120766464.

The previous prime is 494994229. The next prime is 494994259. The reversal of 494994240 is 42499494.

It can be written as a sum of positive squares in 6 ways, for example, as 248629824 + 246364416 = 15768^2 + 15696^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4380424 + ... + 4380536.

Almost surely, 2494994240 is an apocalyptic number.

494994240 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 494994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961759062).

494994240 is an abundant number, since it is smaller than the sum of its proper divisors (1428523884).

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

494994240 is a wasteful number, since it uses less digits than its factorization.

494994240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 494994240 is about 22248.4660145368. The cubic root of 494994240 is about 791.0429210350.

The spelling of 494994240 in words is "four hundred ninety-four million, nine hundred ninety-four thousand, two hundred forty".