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498464064 = 263373292
BaseRepresentation
bin11101101101011…
…111010101000000
31021201221121011000
4131231133111000
52010101322224
6121243452000
715231606000
oct3555372500
91251847130
10498464064
1123640847a
1211ab27000
137c367c67
144a2b6000
152db630c9
hex1db5f540

498464064 has 336 divisors, whose sum is σ = 1769872000. Its totient is φ = 137507328.

The previous prime is 498464063. The next prime is 498464077. The reversal of 498464064 is 460464894.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498464063) 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, 17188402 + ... + 17188430.

Almost surely, 2498464064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 498464064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884936000).

498464064 is an abundant number, since it is smaller than the sum of its proper divisors (1271407936).

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

498464064 is an equidigital number, since it uses as much as digits as its factorization.

498464064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 498464064 is about 22326.3087858249. The cubic root of 498464064 is about 792.8869769010.

The spelling of 498464064 in words is "four hundred ninety-eight million, four hundred sixty-four thousand, sixty-four".