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380464500 = 2235313109179
BaseRepresentation
bin10110101011010…
…110110101110100
3222111220121011210
4112223112311310
51234344331000
6101430401420
712266615643
oct2653266564
9874817153
10380464500
11185842679
12a7500270
1360a91730
143875b35a
1523605350
hex16ad6d74

380464500 has 192 divisors, whose sum is σ = 1210809600. Its totient is φ = 92275200.

The previous prime is 380464499. The next prime is 380464507. The reversal of 380464500 is 5464083.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380464507) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2125411 + ... + 2125589.

It is an arithmetic number, because the mean of its divisors is an integer number (6306300).

Almost surely, 2380464500 is an apocalyptic number.

380464500 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 380464500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605404800).

380464500 is an abundant number, since it is smaller than the sum of its proper divisors (830345100).

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

380464500 is a wasteful number, since it uses less digits than its factorization.

380464500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 380464500 is about 19505.4992245777. The cubic root of 380464500 is about 724.6106510314.

The spelling of 380464500 in words is "three hundred eighty million, four hundred sixty-four thousand, five hundred".