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497378880 = 2634531619
BaseRepresentation
bin11101101001010…
…110011001000000
31021122220110120000
4131221112121000
52004312111010
6121204320000
715216436125
oct3551263100
91248813500
10497378880
11235837129
1211a6a3000
137c07803b
144a0b274c
152d9eb7c0
hex1da56640

497378880 has 280 divisors, whose sum is σ = 1829287680. Its totient is φ = 128148480.

The previous prime is 497378813. The next prime is 497378891. The reversal of 497378880 is 88873794.

497378880 is a `hidden beast` number, since 497 + 3 + 78 + 8 + 80 = 666.

It is a super-3 number, since 3×4973788803 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 803211 + ... + 803829.

Almost surely, 2497378880 is an apocalyptic number.

497378880 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 497378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914643840).

497378880 is an abundant number, since it is smaller than the sum of its proper divisors (1331908800).

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

497378880 is a wasteful number, since it uses less digits than its factorization.

497378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 497378880 is about 22301.9927360763. The cubic root of 497378880 is about 792.3111724918.

The spelling of 497378880 in words is "four hundred ninety-seven million, three hundred seventy-eight thousand, eight hundred eighty".