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499081440 = 253511213661
BaseRepresentation
bin11101101111110…
…110000011100000
31021210002222000210
4131233312003200
52010231101230
6121305014120
715240056634
oct3557660340
91253088023
10499081440
1123679a300
1211b184340
137c522c80
144a3d6dc4
152dc35eb0
hex1dbf60e0

499081440 has 288 divisors, whose sum is σ = 1863757728. Its totient is φ = 111513600.

The previous prime is 499081421. The next prime is 499081447. The reversal of 499081440 is 44180994.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (499081447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 754710 + ... + 755370.

It is an arithmetic number, because the mean of its divisors is an integer number (6471381).

Almost surely, 2499081440 is an apocalyptic number.

499081440 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 499081440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931878864).

499081440 is an abundant number, since it is smaller than the sum of its proper divisors (1364676288).

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

499081440 is a wasteful number, since it uses less digits than its factorization.

499081440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 499081440 is about 22340.1307068692. The cubic root of 499081440 is about 793.2141870046.

The spelling of 499081440 in words is "four hundred ninety-nine million, eighty-one thousand, four hundred forty".