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464238060 = 2235111361887
BaseRepresentation
bin11011101010111…
…011010111101100
31012100112201220020
4123222323113230
51422321104220
6114022122140
714334646506
oct3352732754
91170481806
10464238060
11219060a20
1210b580350
13752435a0
1445926d76
152ab52040
hex1babb5ec

464238060 has 192 divisors, whose sum is σ = 1553900544. Its totient is φ = 102067200.

The previous prime is 464238043. The next prime is 464238067. The reversal of 464238060 is 60832464.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (464238067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 522937 + ... + 523823.

It is an arithmetic number, because the mean of its divisors is an integer number (8093232).

Almost surely, 2464238060 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 464238060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776950272).

464238060 is an abundant number, since it is smaller than the sum of its proper divisors (1089662484).

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

464238060 is a wasteful number, since it uses less digits than its factorization.

464238060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 464238060 is about 21546.1843489746. The cubic root of 464238060 is about 774.3077050426.

The spelling of 464238060 in words is "four hundred sixty-four million, two hundred thirty-eight thousand, sixty".