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497364000 = 25353731191
BaseRepresentation
bin11101101001010…
…010110000100000
31021122212201010220
4131221102300200
52004311122000
6121204123040
715216344550
oct3551226040
91248781126
10497364000
11235826a31
1211a696480
137c071333
144a0ab160
152d9e71a0
hex1da52c20

497364000 has 384 divisors, whose sum is σ = 1932263424. Its totient is φ = 109440000.

The previous prime is 497363959. The next prime is 497364001. The reversal of 497364000 is 463794.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497364001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2603905 + ... + 2604095.

It is an arithmetic number, because the mean of its divisors is an integer number (5031936).

Almost surely, 2497364000 is an apocalyptic number.

497364000 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 497364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966131712).

497364000 is an abundant number, since it is smaller than the sum of its proper divisors (1434899424).

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

497364000 is a wasteful number, since it uses less digits than its factorization.

497364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 497364000 is about 22301.6591311050. The cubic root of 497364000 is about 792.3032712665.

The spelling of 497364000 in words is "four hundred ninety-seven million, three hundred sixty-four thousand".