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396483060960 = 253257231414421
BaseRepresentation
bin1011100010100000011…
…10110110010011100000
31101220101120211100121100
411301100032312103200
522443444130422320
6502050343554400
740434135261300
oct5612016662340
91356346740540
10396483060960
11143169396008
1264a1145ba00
132b507b2091c
1415293075600
15a4a7c92790
hex5c503b64e0

396483060960 has 864 divisors, whose sum is σ = 1664669470464. Its totient is φ = 85542912000.

The previous prime is 396483060959. The next prime is 396483060997. The reversal of 396483060960 is 69060384693.

It is a happy number.

It is a super-2 number, since 2×3964830609602 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 396483060897 and 396483060906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 89679550 + ... + 89683970.

It is an arithmetic number, because the mean of its divisors is an integer number (1926700776).

Almost surely, 2396483060960 is an apocalyptic number.

396483060960 is a gapful number since it is divisible by the number (30) 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 396483060960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832334735232).

396483060960 is an abundant number, since it is smaller than the sum of its proper divisors (1268186409504).

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

396483060960 is a wasteful number, since it uses less digits than its factorization.

396483060960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4528 (or 4510 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 396483060960 in words is "three hundred ninety-six billion, four hundred eighty-three million, sixty thousand, nine hundred sixty".