Search a number
-
+
466640460 = 2233511136043
BaseRepresentation
bin11011110100000…
…101111001001100
31012112001210101000
4123310011321030
51423424443320
6114145420300
714364243546
oct3364057114
91175053330
10466640460
1121a451980
1211033a690
13758a4c20
1445d90696
152ae78c90
hex1bd05e4c

466640460 has 192 divisors, whose sum is σ = 1705858560. Its totient is φ = 104405760.

The previous prime is 466640459. The next prime is 466640467. The reversal of 466640460 is 64046664.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (466640467) 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, 74199 + ... + 80241.

It is an arithmetic number, because the mean of its divisors is an integer number (8884680).

Almost surely, 2466640460 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 466640460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852929280).

466640460 is an abundant number, since it is smaller than the sum of its proper divisors (1239218100).

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

466640460 is a wasteful number, since it uses less digits than its factorization.

466640460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6085 (or 6077 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 466640460 is about 21601.8624197082. The cubic root of 466640460 is about 775.6410706778.

The spelling of 466640460 in words is "four hundred sixty-six million, six hundred forty thousand, four hundred sixty".