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8474849460 = 223257115383139
BaseRepresentation
bin1111110010010001…
…11111000010110100
3210212121220221220100
413321020333002310
5114324030140320
63520541234100
7420005013630
oct77110770264
923777827810
108474849460
113659916920
121786262930
13a50a3062c
145a5793dc0
15349046790
hex1f923f0b4

8474849460 has 576 divisors, whose sum is σ = 33286256640. Its totient is φ = 1694684160.

The previous prime is 8474849459. The next prime is 8474849479. The reversal of 8474849460 is 649484748.

8474849460 is a `hidden beast` number, since 8 + 474 + 84 + 94 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8474849397 and 8474849406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60970071 + ... + 60970209.

It is an arithmetic number, because the mean of its divisors is an integer number (57788640).

Almost surely, 28474849460 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 8474849460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16643128320).

8474849460 is an abundant number, since it is smaller than the sum of its proper divisors (24811407180).

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

8474849460 is a wasteful number, since it uses less digits than its factorization.

8474849460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The square root of 8474849460 is about 92058.9455729317. The cubic root of 8474849460 is about 2038.8127030043.

The spelling of 8474849460 in words is "eight billion, four hundred seventy-four million, eight hundred forty-nine thousand, four hundred sixty".