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497981120 = 2657313349
BaseRepresentation
bin11101101011101…
…001011011000000
31021201001001200012
4131223221123000
52004440343440
6121225244052
715224525000
oct3553513300
91251031605
10497981120
1123610864a
1211a933628
137c2291b0
144a1cc000
152dab9e65
hex1dae96c0

497981120 has 224 divisors, whose sum is σ = 1493520000. Its totient is φ = 157151232.

The previous prime is 497981111. The next prime is 497981123. The reversal of 497981120 is 21189794.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (497981123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1426706 + ... + 1427054.

It is an arithmetic number, because the mean of its divisors is an integer number (6667500).

Almost surely, 2497981120 is an apocalyptic number.

497981120 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 497981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746760000).

497981120 is an abundant number, since it is smaller than the sum of its proper divisors (995538880).

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

497981120 is a wasteful number, since it uses less digits than its factorization.

497981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 41.

The square root of 497981120 is about 22315.4905838971. The cubic root of 497981120 is about 792.6308275492.

The spelling of 497981120 in words is "four hundred ninety-seven million, nine hundred eighty-one thousand, one hundred twenty".