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474533640 = 233457461
BaseRepresentation
bin11100010010001…
…100111100001000
31020001220210210000
4130102030330020
51432440034030
6115030523000
714521320000
oct3422147410
91201823700
10474533640
11223953169
12112b06460
1377409849
1447047000
152b9d7860
hex1c48cf08

474533640 has 400 divisors, whose sum is σ = 1891179180. Its totient is φ = 106686720.

The previous prime is 474533623. The next prime is 474533663. The reversal of 474533640 is 46335474.

It is a happy number.

474533640 is a `hidden beast` number, since 4 + 7 + 4 + 5 + 3 + 3 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 411521796 + 63011844 = 20286^2 + 7938^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 474533595 and 474533604.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 7779210 + ... + 7779270.

Almost surely, 2474533640 is an apocalyptic number.

474533640 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 474533640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945589590).

474533640 is an abundant number, since it is smaller than the sum of its proper divisors (1416645540).

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

474533640 is an equidigital number, since it uses as much as digits as its factorization.

474533640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 474533640 is about 21783.7930581430. The cubic root of 474533640 is about 779.9899406987.

The spelling of 474533640 in words is "four hundred seventy-four million, five hundred thirty-three thousand, six hundred forty".