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499056480 = 253251353503
BaseRepresentation
bin11101101111101…
…111111101100000
31021210001200210100
4131233233331200
52010224301410
6121304302400
715236624106
oct3557577540
91253050710
10499056480
1123678257a
1211b171a00
137c5147c0
144a3cbc76
152dc2d8c0
hex1dbeff60

499056480 has 288 divisors, whose sum is σ = 1872351936. Its totient is φ = 120287232.

The previous prime is 499056463. The next prime is 499056487. The reversal of 499056480 is 84650994.

It is a happy number.

499056480 is a `hidden beast` number, since 4 + 9 + 9 + 0 + 564 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (499056487) 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, 991909 + ... + 992411.

It is an arithmetic number, because the mean of its divisors is an integer number (6501222).

Almost surely, 2499056480 is an apocalyptic number.

499056480 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 499056480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936175968).

499056480 is an abundant number, since it is smaller than the sum of its proper divisors (1373295456).

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

499056480 is a wasteful number, since it uses less digits than its factorization.

499056480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 499056480 is about 22339.5720639407. The cubic root of 499056480 is about 793.2009634072.

The spelling of 499056480 in words is "four hundred ninety-nine million, fifty-six thousand, four hundred eighty".