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497196960 = 2535131743109
BaseRepresentation
bin11101101000101…
…001111110100000
31021122120020000020
4131220221332200
52004240300320
6121200353440
715215050551
oct3550517640
91248506006
10497196960
11235722487
1211a615880
137c0132b0
144a066328
152d9b2940
hex1da29fa0

497196960 has 384 divisors, whose sum is σ = 1844156160. Its totient is φ = 111476736.

The previous prime is 497196919. The next prime is 497196961. The reversal of 497196960 is 69691794.

It is a super-4 number, since 4×4971969604 (a number of 36 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (497196961) 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, 4561386 + ... + 4561494.

It is an arithmetic number, because the mean of its divisors is an integer number (4802490).

Almost surely, 2497196960 is an apocalyptic number.

497196960 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 497196960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922078080).

497196960 is an abundant number, since it is smaller than the sum of its proper divisors (1346959200).

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

497196960 is a wasteful number, since it uses less digits than its factorization.

497196960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The square root of 497196960 is about 22297.9138037620. The cubic root of 497196960 is about 792.2145628240.

The spelling of 497196960 in words is "four hundred ninety-seven million, one hundred ninety-six thousand, nine hundred sixty".