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463480420 = 225132836299
BaseRepresentation
bin11011101000000…
…010011001100100
31012022010020121111
4123220002121210
51422122333140
6113553554404
714325342604
oct3350023144
91168106544
10463480420
11218693777
1210b275a04
1375039790
14457aac04
152aa527ea
hex1ba02664

463480420 has 48 divisors (see below), whose sum is σ = 1052049600. Its totient is φ = 170499456.

The previous prime is 463480387. The next prime is 463480447. The reversal of 463480420 is 24084364.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70431 + ... + 76729.

It is an arithmetic number, because the mean of its divisors is an integer number (21917700).

Almost surely, 2463480420 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 463480420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526024800).

463480420 is an abundant number, since it is smaller than the sum of its proper divisors (588569180).

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

463480420 is a wasteful number, since it uses less digits than its factorization.

463480420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6604 (or 6602 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 463480420 is about 21528.5954023945. The cubic root of 463480420 is about 773.8862503573.

The spelling of 463480420 in words is "four hundred sixty-three million, four hundred eighty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 283 566 1132 1415 2830 3679 5660 6299 7358 12598 14716 18395 25196 31495 36790 62990 73580 81887 125980 163774 327548 409435 818870 1637740 1782617 3565234 7130468 8913085 17826170 23174021 35652340 46348042 92696084 115870105 231740210 463480420